Publications - Year 2023

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...*.

Surveys & Proceedings

  1. by
    B. Collas, P. Dèbes, Y. Hoshi, and A. Mézard.
    In Oberwolfach Reports, EMS - Publishing House.
    Dec 2023
  1. by
    B. Collas.
    In Mathematics and Theoretical Computer Science (Kazan),
    Sep 2023
  2. Lectures notes “Around the inverse Galois problem”
    by
    O. Witteberg.
    In Park City Mathematics Institute Lectures,
    Jun 2023
  3. A survey on algebraic dilatations
    by
    A. Dubouloz, A. Mayeux, and J. Santos.
    In arXiv e-print,
    Jun 2023

Previous years selection...

  1. by
    F. Pop.
    In Topology Appl.,
    May 2022
  2. by
    A. Cadoret.
    In J. Number Theory,
    Jan 2022
  3. by
    F. Binda, D. Park, and P. Østvær.
    In Comptes Rendus. Mathématique,
    Jan 2022

Survey and proceedings of the AHGT project prior to 2023.

Galois Covers and Moduli Spaces

  1. 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 arXiv e-print,
    Jan 2024
  2. by
    D. Harbater, J. Hartmann, and D. Krashen.
    In Israel Journal of Mathematics,
    Dec 2023
  3. Improvements on dimension growth results and effective Hilbert’s irreducibility theorem
    by
    R. Cluckers, P. Dèbes, Y. Hendel, K. Nguyen, and F. Vermeulen.
    In arXiv e-print,
    Nov 2023
  4. by
    J. König, and D. Neftin.
    In International Mathematics Research Notices,
    Nov 2023
  5. by
    S. Arias-de-Reyna, and J. König.
    In International Journal of Number Theory,
    Nov 2023
  6. by
    N. Borne, and A. Laaroussi.
    In Bulletin des Sciences Mathématiques,
    Oct 2023
  7. Explicit Riemann-Roch spaces in the Hilbert class field
    by
    J. Couveignes, and J. Gasnier.
    In arXiv e-print,
    Sep 2023
  8. Rationality problem for norm one tori for A5 and PSL2(F8) extensions
    by
    A. Hoshi, and A. Yamasaki.
    In arXiv e-print,
    Sep 2023
  9. by
    M. Fried.
    In Albanian Journal of Mathematics,
    Jul 2023
  10. by
    B. Seguin.
    In PhD thesis Lille University,
    Jul 2023
  11. On sets of rational functions which locally represent all of Q.
    by
    J. König, and B. Klahn.
    In arXiv e-print,
    Jun 2023
  12. On the descent conjecture for rational points and zero-cycles
    by
    N. Linh.
    In arXiv e-print,
    May 2023
  13. by
    I. Biswas, N. Borne, S. Dumitrescu, S. Heller, and C. Pauly.
    In Journal of Geometry and Physics,
    May 2023
  14. Fields of Definition of Components of Hurwitz Spaces
    by
    B. Seguin.
    In arXiv e-print,
    Mar 2023
  15. Bounds for rational points on algebraic curves, optimal in the degree, and dimension growth
    by
    G. Binyamini, R. Cluckers, and D. Novikov.
    In arXiv e-print (to appear in IMRN),
    Feb 2023
  16. by
    A. Hoshi, K. Kanai, and A. Yamasaki.
    In Journal of Number Theory,
    Feb 2023
  17. by
    B. Deschamps.
    In North-W. Eur. J. de Math.,
    Jan 2023
  18. by
    A. Hoshi, M. Kang, and A. Yamasaki.
    In Memoirs of the American Mathematical Society,
    Jan 2023
  19. by
    J. Couveignes, and T. Ezome.
    In J. Algebra,
    Jan 2023
  20. by
    A. Bodin, and P. Dèbes.
    In Israel J. Math.,
    Jan 2023
  21. by
    B. Deschamps.
    In J. of Algebra,
    Jan 2023
  22. by
    J. König, and D. Neftin.
    In Israel Journal of Mathematics,
    2023
  23. by
    J. König.
    In Journal of Algebra,
    2023
  24. by
    B. Im, and J. König.
    In Mathematische Nachrichten,
    2023
  25. by
    J. König.
    In International Journal of Number Theory,
    2023
  26. by
    K. Kim, and J. König.
    In Glasgow Mathematical Journal,
    2023

References on Galois Covers and Moduli Spaces of the AHGT project prior to 2023.

Motivic & Geometric Galois Representations

  1. Hilbert properties under base change in small extensions
    by
    S. Lior Bary-Soroker.
    In arXiv e-print,
    Dec 2023
  2. Associators in mould theory
    by
    H. Furusho, M. Hirose, and N. Komiyama.
    In arXiv e-print,
    Dec 2023
  3. by
    S. Lior Bary-Soroker.
    In Journal für die reine und angewandte Mathematik (Crelles Journal),
    Nov 2023
  4. by
    H. Furusho, and N. Komiyama.
    In Ann. Fac. Sci. Toulouse Math.,
    Nov 2023
  5. Local model theory for non-generic tame potentially Barsotti–Tate deformation rings
    by
    S. Bao Viet Le Hung.
    In arXiv e-print,
    Nov 2023
  6. by
    A. Best, L. Betts, T. Kumpitsch, M. Lüdtke, A. McAndrew, L. Qian, E. Studnia, and Y. Xu.
    In Math. Comp.,
    Oct 2023
  7. by
    B. Enriquez, and F. Hidekazu.
    In Sel. Math. New Ser.,
    Oct 2023
  8. by
    K. Yaddaden.
    In Journal of Pure and Applied Algebra (acc. 2023),
    Oct 2023
  9. Generic vanishing theorem for Fujiki class C
    by
    H. Liu.
    In arXiv e-print,
    Sep 2023
  10. Making the motivic group structure on the endomorphisms of the projective line explicit
    by
    V. Barth, W. Hornslien, G. Quick, and G. Wilson.
    In arXiv e-print,
    Aug 2023
  11. by
    N. Combe, Y. Manin, and M. Marcolli.
    In Essays in Geometry,
    Aug 2023
  12. Elliptic hyperlogarithms
    by
    B. Enriquez, and F. Zerbini.
    In arXiv e-print,
    Jul 2023
  13. by
    A. Topaz.
    In preprint,
    Jun 2023
  14. Chabauty–Kim and the Section Conjecture for locally geometric sections
    by
    L. Betts, T. Kumpitsch, and M. Lüdtke.
    May 2023
  15. by
    H. Furusho.
    In Tunisian. J. Math,
    Apr 2023
  16. by
    B. Enriquez, and F. Hidekazu.
    In Sel. Math. New Ser.,
    Mar 2023
  17. by
    O. Harpaz.
    In Duke Math. J.,
    Jan 2023
  18. Notes on Kashiwara-Vergne and double shuffle Lie algebras
    by
    H. Furusho, and N. Komiyama.
    In "Low Dimensional Topology and Number Theory" Springer Proceedings in Mathematics and Statistics (to appear),
    2023
  19. by
    M. Leonhardt, M. Lüdtke, and J. Müller.
    In Int. Math. Res. Not. IMRN,
    2023
  20. by
    F. Bleher, T. Chinburg, and J. Gillibert.
    In Proc. Lond. Math. Soc. (3),
    2023
  21. by
    N. Combe, Y. Manin, and M. Marcolli.
    In P-Adic Num Ultrametr Anal Appl,
    2023

References on Motivic & Geometric Galois Representations of the AHGT project prior to 2023.

Arithmetic Anabelian Geometry

  1. GT-shadows for the gentle version of the Grothendieck-Teichmueller group
    by
    V. Dolgushev, and J. Guynee.
    In arXiv e-print,
    Jan 2024
  2. The classifying element for quotients of Fermat curves
    by
    J. Duque-Rosero, and R. Pries.
    In arXiv e-print,
    Dec 2023
  3. On the kernels of the pro-p outer Galois representations associated to once-punctured CM elliptic curves
    by
    S. Ishii.
    In arXiv e-print,
    Dec 2023
  4. On Kummer characters arising from Galois actions on the pro-p fundamental groups of once-punctured CM elliptic curves
    by
    S. Ishii.
    In arXiv e-print,
    Dec 2023
  5. groups of proper varieties are finitely presented
    by
    M. Lara, V. Srinivas, and J. Stix.
    In arXiv e-print,
    Nov 2023
  6. by
    P. Dittmann, and F. Pop.
    In Ann. of Math. ,
    Nov 2023
  7. On Oda’s problem and special loci
    by
    B. Collas, and S. Philip.
    In arXiv e-print, RIMS preprint 1978,
    Nov 2023
  8. Topological rigidity of maps in positive characteristic and anabelian geometry
    by
    P. Achinger, and J. Stix.
    In arXiv e-print,
    Oct 2023
  9. by
    M. Boggi.
    In Glasgow Math. J.,
    Oct 2023
  10. Mass formula for non-ordinary curves in one dimensional families
    by
    R. Cavalieri, and R. Pries.
    In arXiv e-print,
    Aug 2023
  11. by
    M. Boggi, and L. Funar.
    In Journal of Topology,
    Jul 2023
  12. Some cases of Oort’s conjecture about Newton polygons
    by
    R. Pries.
    In arXiv e-print,
    Jun 2023
  13. by
    S. Mochizuki, and S. Tsujimura.
    In RIMS Preprint 1974,
    Jun 2023
  14. by
    S. Tsujimura, and A. Minamide.
    In RIMS Preprint 1973,
    Jun 2023
  15. by
    S. Tsujimura.
    In J. Inst. Math. Jussieu,
    Jun 2023
  16. by
    Y. Hoshi.
    In Nagoya Math. J.,
    Jun 2023
  17. by
    C. Demarche, and T. Szamuely.
    In preprint,
    Jun 2023
  18. by
    Y. Hoshi.
    In RIMS Preprint 1972,
    May 2023
  19. by
    Y. Hoshi.
    In RIMS Preprint 1970,
    Apr 2023
  20. Anabelian properties of infinite algebraic extensions of finite fields
    by
    T. Murotani.
    In arXiv e-print,
    Apr 2023
  21. by
    Y. Hoshi.
    In Publ. Res. Inst. Math. Sci.,
    Mar 2023
  22. The geometrically m-step solvable Grothendieck conjecture for affine hyperbolic curves over finitely generated fields
    by
    N. Yamaguchi.
    In arXiv e-print,
    Feb 2023
  23. by
    M. Takahiro.
    In Int. J. Number Theory,
    Feb 2023
  24. by
    A. Topaz.
    In preprint,
    Jan 2023
  25. Topological Structures of Moduli Spaces of Curves and Anabelian Geometry in Positive Characteristic
    by
    Z. Hu, Y. Yang, and R. Zong.
    In arXiv e-print,
    Jan 2023
  26. by
    A. Cadoret, C. Hui, and A. Tamagawa.
    In Israel J. Math.,
    Jan 2023
  27. by
    H. Esnault, V. Srinivas, and J. Stix.
    In Algebraic Geometry,
    2023
  28. by
    W. Porowski.
    In Publ. Res. Inst. Math. Sci.,
    2023
  29. by
    Y. Yang.
    In preprint,
    2023
  30. by
    R. Davis, R. Pries, and K. Wickelgren.
    In Israel Journal of Math.,
    2023
  31. by
    E. Kin, H. Nakamura, and H. Ogawa.
    In J. Math. Soc. Japan,
    2023
  32. On the observability of Galois representations and the Tate conjecture
    by
    Y. André.
    In arXiv e-print,
    2023

References on Arithmetic Anabelian Geometry of the AHGT project prior to 2023.

...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. A note on Real line bundles with connection and Real smooth Deligne cohomology
    by
    P. Flydal, G. Quick, and E. Svanes.
    In Acta Mathematica Vietnamica (acc.),
    Dec 2023
  2. Automorphisms of procongruence pants complexes
    by
    M. Boggi, and L. Funar.
    In arXiv e-print,
    Nov 2023
  3. by
    Q. Liu.
    In Res. number theory,
    Oct 2023
  4. Twisted Heilbronn Virtual Characters
    by
    G. Yamashita.
    In preprint,
    Oct 2023
  5. Pre-Lie algebras with divided powers and the Deligne groupoid in positive characteristic
    by
    M. Verstraete.
    In arXiv e-print,
    Oct 2023
  6. On Frobenius structures in symmetric cones
    by
    N. Combe.
    In ,
    Sep 2023
  7. Parametric Fourier and Mellin transforms of power-constructible functions
    by
    R. Cluckers, G. Comte, and T. Servi.
    In arXiv e-print (to appear in Forum of Math, Sigma),
    Aug 2023
  8. Higgs bundles in the Hitchin section over non-compact hyperbolic surfaces
    by
    Q. Li, and T. Mochizuki.
    In arXiv e-print,
    Jul 2023
  9. On the cokernel of the Thom morphism for compact Lie groups
    by
    E. Kaspersen, and G. Quick.
    In arXiv e-print,
    Jun 2023
  10. by
    A. Asok, A. Dubouloz, and P. Ostvaer.
    In Int. Math. Res. Not. IMRN,
    May 2023
  11. Hopf crossed module (co)algebras
    by
    K. Sozer, and A. Virelizier.
    May 2023
  12. Chromatic maps for finite tensor categories
    by
    F. Costantino, N. Geer, B. Patureau-Mirand, and A. Virelizier.
    May 2023
  13. Generating the homology of covers of surfaces
    by
    M. Boggi, A. Putman, and N. Salter.
    In arXiv e-print,
    May 2023
  14. Asymptotic behaviour of the Hitchin metric on the moduli space of Higgs bundles
    by
    T. Mochizuki.
    In arXiv e-print,
    May 2023
  15. Existential uniform p-adic integration and descent for integrability and largest poles
    by
    R. Cluckers, and M. Stout.
    In arXiv e-print,
    Apr 2023
  16. Mellin transforms of power-constructible functions
    by
    R. Cluckers, G. Comte, J. Rolin, and T. Servi.
    In arXiv e-print,
    Apr 2023
  17. by
    Y. Hoshi.
    In Math. J. Okayama Univ.,
    Mar 2023
  18. Asymptotic behaviour of large-scale solutions of Hitchin’s equations in higher rank
    by
    T. Mochizuki, and S. Szabo.
    In arXiv e-print,
    Mar 2023
  19. Geometric pushforward in Hodge filtered complex cobordism and secondary invariants
    by
    K. Haus, and G. Quick.
    In arXiv e-print,
    Mar 2023
  20. Non compact (2+1)-TQFTs from non-semisimple spherical categories
    by
    F. Costantino, N. Geer, B. Patureau-Mirand, and A. Virelizier.
    Feb 2023
  21. Natural transformations relating homotopy and singular homology functors
    by
    B. Enriquez, and F. Lecomte.
    In arXiv e-print, RIMS preprint 1978,
    Jan 2023
  22. by
    K. Sözer, and A. Virelizier.
    In Adv. Math.,
    Jan 2023
  23. by
    R. Cluckers, I. Halupczok, S. Rideau-Kikuchi, and F. Vermeulen.
    In Forum Math. Sigma,
    Jan 2023
  24. by
    R. Cluckers, I. Glazer, and Y. Hendel.
    In Algebra Number Theory,
    Jan 2023
  25. by
    R. Cluckers, J. Kollár, and M. Mustaţǎ.
    In Algebraic Geometry and Physics (to appear),
    2023
  26. by
    T. Mochizuki, and C. Sabbah.
    In Oberwolfach Rep.,
    2023
  27. by
    K. Haus, and G. Quick.
    In Adv. Math.,
    2023
  28. by
    N. Combe.
    In Workshop Reports of “Mini-Workshop: Combinatorial and Algebraic Structures in Rough Analysis and Related Fields”,
    2023
  29. by
    N. Combe, Y. Manin, and M. Marcolli.
    In Pure and Applied Mathematics Quarterly,
    2023
  30. by
    N. Combe, and P. Nencka.
    In Geometric Science of Information, Lecture Notes in Computer Science, Springer,
    2023

For interactions of these topics, we refer to the proceedings (a) Arithmetic Homotopy & Galois Theory. Oberwolfach-RIMS tandem workshop (Oberwolfach-RIMS 2023; 100 pages), (b) Homotopic and Geometric Galois Theory (Oberwolfach workshop 2021; 82 pages), and (c) Arithmetic Geometry and Symmetries around Galois and Fundamental Groups (Oberwolfach 2018; 60 pages).

*This bibliography list has been automatically generated with no attempt to correct errors; the categorization must be understood in a broad sense.