Publications & Preprints 2024

Publications and preprints, antichronological order, of the AHGT members of the network in A/ Galois Covers and Moduli Spaces, B/Motivic & Geometric Galois Representations, C/Arithmetic Anabelian Geometry ...and related topics...*. For proceedings, lectures notes, surveys, and notes see the AHGT publications overview.

Galois Covers and Moduli Spaces 2024

  1. Low genus primitive monodromy groups with with a nonunique minimal normal subgroup
    by
    S. Gerhardt, E. McKemmie, and D. Neftin.
    In e-print arXiv,
    Jan 2025
    ArXiv
  2. Sparsity of stable primes for dynamical sequences
    by
    J. König.
    In Bulletin of the London Mathematical Society,
    Jan 2025
  3. Quelques considérations galoisiennes relatives à l’extension des constantes d’un corps de fractions tordu
    by
    B. Deschamps.
    In Expositiones Mathematicae (to appear),
    Jan 2025
  4. De l’instabilité des extensions galoisiennes intermédiaires
    by
    B. Deschamps, and P. Rodriguez.
    In Annales Mathématiques Blaise Pascal (to appear),
    Jan 2025
  5. The Weakly Special Conjecture contradicts orbifold Mordell, and thus abc
    by
    F. Frédéric Campana, A. Javanpeykar, and O. Wittenberg.
    In e-print arXiv,
    Oct 2024
    ArXiv
  6. The Geometry of Rings of Components of Hurwitz Spaces
    by
    B. Seguin.
    In e-print arXiv,
    Oct 2024
    ArXiv
  7. Counting Components of Hurwitz Spaces
    by
    B. Seguin.
    In e-print arXiv,
    Sep 2024
    ArXiv
  8. Linear constellations in primes with arithmetic restrictions
    by
    C. Frei, J. König, and M. Tinková.
    In e-print arXiv,
    Aug 2024
    ArXiv
  9. Symmetries of various sets of polynomials
    by
    B. Seguin.
    In e-print arXiv,
    Jul 2024
    ArXiv
  10. The Wu relations in real algebraic geometry
    by
    O. Benoist, and O. Wittenberg.
    In e-print arXiv,
    May 2024
    ArXiv
  11. Asymptotics of extensions of simple \mathbb Q-algebras
    by
    F. Gundlach, and B. Seguin.
    In e-print arXiv,
    May 2024
    ArXiv
  12. Norm one tori and Hasse norm principle, III: Degree 16 case
    by
    A. Hoshi, K. Kanai, and A. Yamasaki.
    In e-print arXiv,
    Apr 2024
    ArXiv
  13. The Grunwald problem and homogeneous spaces with non-solvable stabilisers
    by
    E. Boughattas, and D. Neftin.
    In e-print arXiv,
    Apr 2024
    ArXiv
  14. The Grunwald problem and homogeneous spaces with non-solvable stabilisers
    by
    D. Elyes Boughattas.
    In Ann. Inst. Fourier (to appear),
    Apr 2024
    ArXiv
  15. The Weakly Special Conjecture contradicts orbifold Mordell, and thus abc
    by
    C. Demarche, and A. Mathieu Florence.
    In e-print arXiv,
    Mar 2024
    ArXiv
  16. Monodromy groups of indecomposable coverings of bounded genus
    by
    D. Neftin, and M. Zieve.
    In arXiv e-print,
    Mar 2024
    ArXiv
  17. Mondromy groups of product type
    by
    D. Neftin, and M. Zieve.
    In arXiv e-print,
    Mar 2024
    ArXiv
  18. On the existential theory of the completions of a global field
    by
    P. Dittmann, and A. Fehm.
    In e-print arXiv,
    Jan 2024
    ArXiv
  19. Polynomial compositions with large monodromy groups and applications to arithmetic dynamics
    by
    J. König, D. Neftin, and S. Rosenberg.
    In e-print arXiv,
    Jan 2024
    ArXiv
  20. Polynomial compositions with large monodromy groups and applications to arithmetic dynamics
    by
    S. Joachim König.
    In e-print arXiv,
    Jan 2024
    ArXiv
  21. Unirationality and R-equivalence for conic bundles over quasi-finite fields
    by
    E. Boughattas.
    In e-print arXiv,
    Jan 2024
    ArXiv
  22. On AxCm-unramified extensions over imaginary quadratic fields
    by
    K. Kim, and J. König.
    In Glasgow Mathematical Journal,
    Jan 2024
  23. Locally cyclic extensions with Galois group GL2(p)
    by
    S. Arias-de-Reyna, and J. König.
    In International Journal of Number Theory,
    Jan 2024
  24. On sets of rational functions which locally represent all of Q
    by
    B. Klahn, and J. König.
    In Journal of Algebra,
    Jan 2024
  25. On fake subfields of number fields
    by
    J. König.
    In Research in Number Theory,
    Jan 2024
  26. On the set of stable primes for postcritically infinite maps over number fields
    by
    J. König.
    In e-print arXiv,
    Jan 2024
    ArXiv
  27. Critical point criteria and dynamically monogenic polynomials
    by
    J. König, H. Smith, and Z. Wolske.
    In e-print arXiv,
    Jan 2024
    ArXiv
  28. On a Galois property of fields generated by the torsion of an abelian variety
    by
    S. Checcoli, and G. Dill.
    In Bull. Lond. Math. Soc.,
    Jan 2024
  29. On Widmer’s criteria for the Northcott property
    by
    S. Checcoli, and A. Fehm.
    In Proc. Amer. Math. Soc.,
    Jan 2024
  30. Rationality problem of two-dimensional quasi-monomial group actions
    by
    A. Hidetaka Kitayama.
    In Transformation Groups,
    Jan 2024
  31. Rationality problem for norm one tori for dihedral extensions
    by
    A. Akinari Hoshi.
    In Journal of Algebra,
    Jan 2024
  32. Le théorème de Lüroth pour les corps de fractions tordus par un automorphisme fini
    by
    B. Deschamps.
    In submitted,
    Jan 2024
  33. Sur l’ossature de l’extension K(t,σ)/K lorsque σ est d’ordre extérieur infini
    by
    B. Deschamps.
    In preprint,
    Jan 2024
  34. Doubly isogenous genus-2 curves with D_4-action
    by
    V. Arul, J. Booher, S. Groen, E. Howe, W. Li, V. Matei, R. Pries, and C. Springer.
    In Math. Comp.,
    Jan 2024
  35. Reducible fibers of polynomial maps
    by
    D. Neftin, and J. König.
    In IMRN,
    Jan 2024
  36. Reducible Fibers of Polynomial Maps
    by
    J. König, and D. Neftin.
    In International Mathematics Research Notices,
    Nov 2023
  37. Improvements on dimension growth bounds and effective Hilbert’s irreducibility theorem
    by
    R. Cluckers, Y. Hendel, K. Nguyen, and F. Vermeulen.
    In e-print arXiv,
    Nov 2023

Motivic & Geometric Galois Representations 2024

  2. Motivic Mellin tranforms
    by
    R. Cluckers, F. Loeser, K. Nguyen, and F. Vermeulen.
    In e-print arXiv,
    Dec 2024
    ArXiv
  3. On a conjecture of Zhao related to standard relations among cyclotomic multiple zeta values
    by
    H. Bachmann, and K. Yaddaden.
    In e-print arXiv,
    Nov 2024
    ArXiv
  4. p-adic L-function and Iwasawa Main Conjecture for an Artin motive over a CM field
    by
    T. Hara, and T. Ochiai.
    In e-print arXiv,
    Jul 2024
    ArXiv
  5. Quasi-coherent sheaves on complex analytic spaces
    by
    H. Liu.
    In arXiv e-print,
    Jul 2024
    ArXiv
  6. On the logarithmic slice filtration
    by
    F. Binda, D. Park, and P. Østvær.
    In ,
    Mar 2024
    ArXiv
  7. Uniqueness of indecomposable idempotents in algebras with involution
    by
    V. Karemaker, A. Tamagawa, and C. Yu.
    In e-print arXiv,
    Feb 2024
    ArXiv
  8. Cousin complexes in motivic homotopy theory
    by
    A. Druzhinin, H. Kolderup, and P. Østvær.
    In ,
    Feb 2024
    ArXiv
  9. Local heights on hyperelliptic curves and quadratic Chabauty
    by
    L. Betts, J. Duque-Rosero, S. Hashimoto, and P. Spelier.
    In e-print arXiv,
    Jan 2024
    ArXiv
  10. Hochschild homology of mod-\(p\) motivic cohomology over algebraically closed fields
    by
    B. Dundas, M. Hill, K. Ormsby, and P. Østvær.
    In Commun. Am. Math. Soc.,
    Jan 2024
  11. The multiplicative structures on motivic homotopy groups
    by
    D. Dugger, B. Dundas, D. Isaksen, and P. Østvær.
    In Algebr. Geom. Topol.,
    Jan 2024
  12. The second stable homotopy groups of motivic spheres
    by
    O. Röndigs, M. Spitzweck, and P. Østvær.
    In Duke Math. J.,
    Jan 2024
  13. Bredon motivic cohomology of the complex numbers
    by
    J. Heller, M. Voineagu, and P. Østvær.
    In Doc. Math.,
    Jan 2024
  14. Variations on a Tannakian Cebotarev density theorem
    by
    A. Cadoret, and A. Tamagawa.
    In Math. Annalen. (to appear),
    Jan 2024
  15. Ghosts in families of Abelian varieties with a common isogeny factor
    by
    A. Cadoret, and A. Tamagawa.
    In Journal of the European Math. Soc. (to appear),
    Jan 2024

Arithmetic Anabelian Geometry 2024

  1. Finite subgroups of the profinite completion of good groups
    by
    . M. Boggi, and . P. Zalesskii.
    In Bull. London Math. Soc.,
    2025
  2. Nonabelian basechange theorems and étale homotopy theory
    by
    P. Haine, T. Holzschuh, and S. Wolf.
    In Journal of Topology,
    Dec 2024
  3. On factorizations of certain Kummer characters associated to once-punctured elliptic curves with complex multiplication
    by
    S. Ishii, and Y. Goto.
    In arXiv e-print,
    Dec 2024
    ArXiv
  4. Heavenly elliptic curves over quadratic fields
    by
    C. Cam McLeman.
    In e-print arXiv,
    Oct 2024
    ArXiv
  5. The étale topos reconstructs varieties over sub-p-adic fields
    by
    M. Carlson, and J. Stix.
    In e-print arXiv,
    Oct 2024
    ArXiv
  6. A congruence subgroup property for symmetric mapping class groups
    by
    . M. Boggi.
    In e-print arXiv,
    Aug 2024
    ArXiv
  7. Mordell–Weil groups over large algebraic extensions of fields of characteristic zero
    by
    T. Taguchi.
    In e-print arXiv,
    Aug 2024
    ArXiv
  8. Mordell–Weil groups over large algebraic extensions of fields of characteristic zero
    by
    T. Asayama, and Y. Taguchi.
    In e-print arXiv,
    Aug 2024
    ArXiv
  9. Reconstruction of schemes from their étale topoi
    by
    M. Carlson, P. Haine, and S. Wolf.
    In e-print arXiv,
    Jul 2024
    ArXiv
  10. A refined version of the geometrically m-step solvable Grothendieck conjecture for genus 0 curves over finitely generated fields
    by
    N. Yamaguchi.
    In arXiv e-print,
    Jul 2024
    ArXiv
  11. A refined version of the geometrically m-step solvable Grothendieck conjecture for genus 0 curves over finitely generated fields
    by
    N. Yamaguchi.
    In e-print arXiv,
    Jun 2024
    ArXiv
  12. First examples of non-abelian quotients of the Grothendieck-Teichmueller group that receive surjective homomorphisms from the absolute Galois group of rational numbers
    by
    I. Bortnovskyi, V. Dolgushev, B. Holikov, and V. Pashkovskyi.
    In e-print arXiv,
    May 2024
    ArXiv
  13. The anabelian geometry of configuration spaces of hyperbolic curves in positive characteristic
    by
    H. Y., K. Sawada, and S. Tsujimura.
    In RIMS Preprint 1984,
    May 2024
  17. GT-shadows for the gentle version of the Grothendieck-Teichmueller group
    by
    V. Dolgushev, and J. Guynee.
    In e-print arXiv,
    Jan 2024
    ArXiv
  18. Notes on hyperelliptic mapping class groups
    by
    . M. Boggi.
    In Glasgow Math. J.,
    Jan 2024
  19. The Galois action on the lower central series of the fundamental group of the Fermat curve
    by
    R. Davis, R. Pries, and K. Wickelgren.
    In Israel J. Math.,
    Jan 2024
  20. Correction to “On BT1 group schemes and Fermat curves”
    by
    R. Pries, and D. Ulmer.
    In New York J. Math.,
    Jan 2024
  22. Studies on \ell-adic Galois polylogarithms
    by
    D. Shiraishi.
    In Doctoral Thesis, Osaka University,
    Jan 2024
  23. Locally conjugate Galois sections
    by
    W. Porowski.
    In J. Reine Angew. Math.,
    Jan 2024
  24. The classifying element for quotients of Fermat curves
    by
    J. Duque-Rosero, and R. Pries.
    In Comm. Algebra,
    Jan 2024
  25. On Oda’s problem and special loci
    by
    B. Collas, and S. Philip.
    In Journal de l’Institut de Mathématiques de Jussieu,
    Jan 2024
  27. Comparison between admissible and de Jong coverings in mixed characteristic
    by
    S. Gaulhiac.
    In Manuscripta Mathematica,
    Jan 2024
  28. Automorphisms of procongruence pants complexes
    by
    . M. Boggi, and . L. Funar.
    In e-print arXiv,
    Nov 2023
    ArXiv

...and related topics...

The AHGT program naturally interacts with the latest developments of various fiels of mathematics (e.g., low-dimensional and algebraic topology, algebraic geometry and number theory, quantum field theory,...).

  1. Existential uniform p-adic integration and descent for integrability and largest poles
    by
    R. Cluckers, and M. Stout.
    In to appear in Selecta Math.,
    Jan 2025
  2. GCD inequalities inspired by Vojta’s conjecture
    by
    Y. Yasufuku.
    In Monatsh. Math.,
    Jan 2025
  3. Rescalability of Integrable Mixed Twistor D-Modules
    by
    T. Mochizuki.
    In Perspectives on Four Decades of Algebraic Geometry,
    Jan 2025
  4. Sharp bounds for the number of rational points on algebraic curves and dimension growth, over all global fields
    by
    G. Binyamini, R. Cluckers, and F. Kato.
    In Proc. Lond. Math. Soc.,
    Jan 2025
  5. The convergence Newton polygon of a p-adic differential equation IV : controlling graphs
    by
    J. Poineau, and A. Pulita.
    In e-print arXiv,
    Dec 2024
    ArXiv
  6. Certifying nontriviality of Ceresa classes of curves
    by
    J. Ellenberg, A. Logan, and P. Srinivasan.
    In e-print arXiv,
    Dec 2024
    ArXiv
  7. Categorical Foundations of Formalized Condensed Mathematics
    by
    D. Asgeirsson, R. Brasca, N. Kuhn, F. Nuccio, and A. Topaz.
    In J. Symbolic Logic (to appear),
    Dec 2024
  8. Explicit Riemann-Roch spaces in the Hilbert class field
    by
    J. Couveignes, and J. Gasnier.
    In preprint,
    Sep 2024
  9. Eventual tightness of projective dimension growth bounds: quadratic in the degree
    by
    R. Cluckers, and I. Glazer.
    In under revision for Journal of Number Theory,
    Sep 2024
    ArXiv
  10. Geometric representation of cohomology classes for the Lie groups Spin(7) and Spin(8)
    by
    E. Kaspersen, and G. Quick.
    In arXiv e-print,
    Sep 2024
    ArXiv
  11. Lannes’ T-functor and mod-p cohomology of profinite groups
    by
    . M. Boggi.
    In e-print arXiv,
    Aug 2024
    ArXiv
  12. Frobenius pull-back of parabolic bundles and dormant opers
    by
    Y. Wakabayashi.
    In e-print arXiv,
    Aug 2024
    ArXiv
  13. The generic étaleness of the moduli space of dormant \mathfrakso_2\ell-opers
    by
    Y. Wakabayashi.
    In e-print arXiv,
    Aug 2024
    ArXiv
  14. Representation functions with prescribed rates of growth
    by
    C. Táfula.
    In e-print arXiv,
    May 2024
    ArXiv
  15. A note on the Thom morphism for the classifying space of certain Lie groups and gauge groups
    by
    E. Kaspersen, and G. Quick.
    In arXiv e-print,
    May 2024
    ArXiv
  16. Study of a division-like property
    by
    R. Khanfir, and B. Seguin.
    In Journal of Algebra and its Applications,
    Apr 2024
  17. Automorphisms of framed operads
    by
    G. Horel, and T. Willwacher.
    In e-print arXiv,
    Mar 2024
    ArXiv
  18. Real C^\mathrmexp-class distributions and their analytic holonomicity
    by
    A. Aizenbud, R. Cluckers, M. Raibaut, and T. Servi.
    In e-print arXiv,
    Mar 2024
    ArXiv
  19. Appendix to: D.H. Kochloukova. S. Vidussi. Finiteness properties of algebraic fibers of group extensions
    by
    . M. Boggi.
    In Contemp. Math. AMS (to appear),
    Mar 2024
  20. Generating the homology of covers of surfaces
    by
    M. Boggi, A. Putman, and N. Salter.
    In Bull. London Math. Soc.,
    Mar 2024
  21. Uniformity of quasi-integral points of bounded degree in higher-dimensional orbits
    by
    Y. Yasufuku.
    In Math. Proc. Cambridge Philos. Soc.,
    Mar 2024
  22. Higgs bundles in the Hitchin section over non-compact hyperbolic surfaces
    by
    Q. Li, and T. Mochizuki.
    In Proc. Lond. Math. Soc.,
    Mar 2024
  23. Bounds for Rational Points on Algebraic Curves, Optimal in the Degree, and Dimension Growth
    by
    G. Binyamini, R. Cluckers, and D. Novikov.
    In ,
    2024
  24. Mellin transforms of power-constructible functions
    by
    R. Cluckers, G. Comte, J. Rolin, and T. Servi.
    In Adv. Math.,
    2024
  25. Parametric Fourier and Mellin transforms of power-constructible functions
    by
    R. Cluckers, G. Comte, and T. Servi.
    In Forum Math. Sigma,
    2024
  26. Combining Igusa’s conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent
    by
    R. Cluckers, and K. Nguyen.
    In Algebra Number Theory,
    2024
  27. The log canonical threshold and rational singularities
    by
    R. Cluckers, J. Kollár, and M. Mustaţǎ.
    In Algebraic Geometry and Physics (to appear),
    2024
    ArXiv
  28. Knights are 24/13 times faster than the king
    by
    C. Táfula.
    In Fibonacci Quart.,
    2024
  30. Some cases of Oort’s conjecture about Newton polygons
    by
    R. Pries.
    In Nagoya Mathematical Journal,
    2024
  32. A note on real line bundles with connection and real smooth Deligne cohomology
    by
    P. Flydal, G. Quick, and E. Svanes.
    In Acta Math. Vietnam.,
    2024
  33. Groupes de monodromie finie des variétés abéliennes
    by
    S. Philip.
    In arXiv e-print,
    2024
    ArXiv
*This bibliography list has been automatically generated with no attempt to correct errors; the categorization must be understood in a broad sense.