References AHGT

A selection of references on Galois Covers & Moduli Spaces in Arithmetic and Homotopic Galois Theory prior to 2023. For recent publications, see the AHGT publications overview.

2022

  1. The Hilbert–Schinzel specialization property
    by
    A. Bodin, P. Dèbes, J. König, and S. Najib.
    In J. Reine Angew. Math.,
    2022
  2. The local dimension of a finite group over a number field
    by
    J. König, and D. Neftin.
    In Trans. Amer. Math. Soc.,
    2022
  3. Point counting and Wilkie’s conjecture for non-Archimedean Pfaffian and Noetherian functions
    by
    G. Binyamini, R. Cluckers, and D. Novikov.
    In Duke Mathematical Journal,
    2022
  4. Hensel minimality I
    by
    R. Cluckers, I. Halupczok, and S. Rideau-Kikuchi.
    In Forum Math. Pi,
    2022

2021

  1. Local-global principles for constant reductive groups over semi-global fields
    by
    J. Colliot-Thélène, D. Harbater, J. Hartmann, D. Krashen, R. Parimala, and V. Suresh.
    In arXiv e-prints,
    Aug 2021
    ArXiv
  2. Correspondences on curves in positive characteristic
    by
    A. Tamagawa.
    In Abelian varieties and number theory, Amer. Math. Soc., [Providence], RI.
    Aug 2021
  3. Rational pullbacks of Galois covers
    by
    P. Dèbes, J. König, F. Legrand, and D. Neftin.
    In Math. Z.,
    Aug 2021
  4. The arithmetic local Nori fundamental group
    by
    M. Romagny, F. Tonini, and L. Zhang.
    In Trans. Amer. Math. Soc.,
    Aug 2021
  5. Density results for specialization sets of Galois covers
    by
    J. König, and F. Legrand.
    In J. Inst. Math. Jussieu,
    Aug 2021
  6. Pre-Galois theory
    by
    P. Débes, and D. Harbater.
    In Osaka J. Math.,
    Aug 2021
  7. On parametric and generic polynomials with one parameter
    by
    P. Dèbes, J. König, F. Legrand, and D. Neftin.
    In J. Pure Appl. Algebra,
    Aug 2021
  8. Rational pullbacks of Galois covers
    by
    P. Dèbes, J. König, F. Legrand, and D. Neftin.
    In Mathematische Zeitschrift (to appear),
    Aug 2021
    PrePrint
  9. A comparison between obstructions to local-global principles over semi-global fields
    by
    D. Harbater, J. Hartmann, V. Karemaker, and F. Pop.
    In Abelian varieties and number theory, Amer. Math. Soc., [Providence], RI.
    Aug 2021
  10. Théorie inverse de Galois sur les corps des fractions rationnelles tordus
    by
    A. Behajaina.
    In J. Pure Appl. Algebra,
    Aug 2021
  11. Multiple Hurwitz space components with trivial lift invariant: Extending Serre’s Open Image Theorem
    by
    M. Fried.
    In Preprint,
    Aug 2021
  12. Taming Genus 0 (or 1) components on variables separated equations
    by
    M. Fried.
    In Preprint,
    Aug 2021

2020

  1. Prime and coprime values of polynomials
    by
    A. Bodin, P. Dèbes, and S. Najib.
    In Enseign. Math.,
    Aug 2020
  2. The Schinzel hypothesis for polynomials
    by
    A. Bodin, P. Dèbes, and S. Najib.
    In Trans. Amer. Math. Soc.,
    Aug 2020
  3. Sur l’existence du schéma en groupes fondamental
    by
    M. Antei, M. Emsalem, and C. Gasbarri.
    In Épijournal Géom. Algébrique,
    Aug 2020
  4. Local-global principles for tori over arithmetic curves
    by
    J. Colliot-Thélène, D. Harbater, J. Hartmann, D. Krashen, R. Parimala, and V. Suresh.
    In Algebr. Geom.,
    Aug 2020
  5. Zéro-cycles sur les espaces homogènes et problème de Galois inverse
    by
    Y. Harpaz, and O. Wittenberg.
    In J. Amer. Math. Soc.,
    Aug 2020
  6. Moduli relations between \ell-adic representations and the regular inverse Galois problem
    by
    M. Fried.
    In Grad. J. Math.,
    Aug 2020
  7. Le Problème Inverse de Galois sur les corps des fractions tordus à indéterminée centrale
    by
    B. Deschamps, and F. Legrand.
    In J. Pure Appl. Algebra,
    Aug 2020
  8. Diophantine statements over residue fields: Galois stratification and uniformity
    by
    M. Fried.
    In Finite Fields and their Applications: Proceedings of the 14th International Conference on Finite Fields and their Applications, Vancouver, June 3-7, 2019, De Gruyter.
    Aug 2020
  9. Multiple Hurwitz space components with trivial lift invariant: A_n cases
    by
    M. Fried.
    In Preprint,
    Aug 2020
  10. Irreducible polynomials of bounded height
    by
    L. Bary-Soroker, and G. Kozma.
    In Duke Mathematical Journal,
    Aug 2020
  11. The dimension growth conjecture, polynomial in the degree and without logarithmic factors
    by
    W. Castryck, R. Cluckers, P. Dittmann, and K. Nguyen.
    In Algebra Number Theory,
    Aug 2020
  12. Uniform parameterization of subanalytic sets and diophantine applications
    by
    R. Cluckers, J. Pila, and A. Wilkie.
    In Ann. Sci. Éc. Norm. Supér. (4),
    Aug 2020

2019

  1. On the local behavior of specializations of function field extensions
    by
    J. König, F. Legrand, and D. Neftin.
    In Int. Math. Res. Not. IMRN,
    Aug 2019
  2. Cyclic covers and Ihara’s question
    by
    C. Rasmussen, and A. Tamagawa.
    In Res. Number Theory,
    Aug 2019

2018

  1. Differential embedding problems over complex function fields
    by
    A. Bachmayr, D. Harbater, J. Hartmann, and M. Wibmer.
    In Doc. Math.,
    Aug 2018
  2. Groups with no parametric Galois realizations
    by
    P. Dèbes.
    In Ann. Sci. Éc. Norm. Supér. (4),
    Aug 2018
  3. Non-parametric sets of regular realizations over number fields
    by
    J. König, and F. Legrand.
    In J. Algebra,
    Aug 2018

2017

  1. The unramified inverse Galois problem and cohomology rings of totally imaginary number fields
    by
    M. Carlson, and T. Schlank.
    In arXiv e-prints,
    Nov 2017
    ArXiv
  2. Arithmetic of abelian varieties with constrained torsion
    by
    C. Rasmussen, and A. Tamagawa.
    In Trans. Amer. Math. Soc.,
    Nov 2017
  3. The Grunwald problem and approximation properties for homogeneous spaces
    by
    C. Demarche, G. Lucchini Arteche, and D. Neftin.
    In Ann. Inst. Fourier (Grenoble),
    Nov 2017
  4. On the Malle conjecture and the self-twisted cover
    by
    P. Dèbes.
    In Israel J. Math.,
    Nov 2017
  5. The Grunwald problem and approximation properties for homogeneous spaces
    by
    C. Demarche, G. Lucchini Arteche, and D. Neftin.
    In Ann. Inst. Fourier (Grenoble),
    Nov 2017
  6. Toward Noether’s problem for the fields of cross-ratios
    by
    H. Tsunogai.
    In Tokyo J. Math.,
    Nov 2017

2016

  1. Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields
    by
    J. Ellenberg, A. Venkatesh, and C. Westerland.
    In Ann. of Math. (2),
    Nov 2016
  2. Specialization results and ramification conditions
    by
    F. Legrand.
    In Israel J. Math.,
    Nov 2016
  3. Hilbertian fields and Galois representations
    by
    L. Bary-Soroker, A. Fehm, and G. Wiese.
    In J. Reine Angew. Math.,
    Nov 2016

2015

  1. On Noether’s problem for cyclic groups of prime order
    by
    A. Hoshi.
    In Proc. Japan Acad. Ser. A Math. Sci.,
    Nov 2015
  2. Local-global principles for torsors over arithmetic curves
    by
    D. Harbater, J. Hartmann, and D. Krashen.
    In Amer. J. Math.,
    Nov 2015
  3. The Nori fundamental gerbe of a fibered category
    by
    N. Borne, and A. Vistoli.
    In J. Algebraic Geom.,
    Nov 2015
  4. Prime polynomials in short intervals and in arithmetic progressions
    by
    E. Bank, L. Bary-Soroker, and L. Rosenzweig.
    In Duke Math. J.,
    Nov 2015
  5. Non-Archimedean Yomdin-Gromov parametrizations and points of bounded height
    by
    R. Cluckers, G. Comte, and F. Loeser.
    In Forum Math. Pi,
    Nov 2015

2014

  1. Picard-Vessiot theory of differentially simple rings
    by
    A. Maurischat.
    In J. Algebra,
    Nov 2014

2013

  1. Noether’s problem and unramified Brauer groups
    by
    A. Hoshi, M. Kang, and B. Kunyavskii.
    In Asian J. Math.,
    Nov 2013
  2. Note on torsion conjecture
    by
    A. Cadoret, and A. Tamagawa.
    In Geometric and differential Galois theories, Soc. Math. France, Paris.
    Nov 2013

2012

  1. Galois covers and the Hilbert-Grunwald property
    by
    P. Dèbes, and N. Ghazi.
    In Ann. Inst. Fourier (Grenoble),
    Nov 2012
  2. Uniform boundedness of p-primary torsion of abelian schemes
    by
    A. Cadoret, and A. Tamagawa.
    In Invent. Math.,
    Nov 2012
  3. Noether’s problem for transitive permutation groups of degree 6
    by
    K. Hashimoto, and H. Tsunogai.
    In Galois-Teichmüller theory and arithmetic geometry, Math. Soc. Japan, Tokyo.
    Nov 2012

2010

  1. Statistics of number fields and function fields
    by
    A. Venkatesh, and J. Ellenberg.
    In Proceedings of the International Congress of Mathematicians. Volume II,
    Nov 2010

2009

  1. Abelian constraints in inverse Galois theory
    by
    A. Cadoret, and P. Dèbes.
    In Manuscripta Math.,
    Nov 2009

2006

  1. Harbater-Mumford components and towers of moduli spaces
    by
    P. Dèbes, and M. Emsalem.
    In J. Inst. Math. Jussieu,
    Nov 2006

2004

  1. Corps ψ-libres et théorie inverse de Galois infinie
    by
    P. Dèbes, and B. Deschamps.
    In J. Reine Angew. Math.,
    Nov 2004

2003

  1. Patching and Galois theory
    by
    D. Harbater.
    In Galois groups and fundamental groups, Cambridge Univ. Press, Cambridge.
    Nov 2003

2002

  1. Configuration spaces for wildly ramified covers
    by
    M. Fried, and A. Mézard.
    In Arithmetic fundamental groups and noncommutative algebra (Berkeley, CA, 1999), Amer. Math. Soc., Providence, RI.
    Nov 2002
  2. Hurwitz monodromy, spin separation and higher levels of a modular tower
    by
    P. Bailey, and M. Fried.
    In Arithmetic fundamental groups and noncommutative algebra (Berkeley, CA, 1999), Amer. Math. Soc., Providence, RI.
    Nov 2002

2001

  1. Construction de revêtements de courbes pointées
    by
    L. Moret-Bailly.
    In J. Algebra,
    Nov 2001

2000

  1. Rational connectedness and Galois covers of the projective line
    by
    J. Colliot-Thélène.
    In Ann. of Math. (2),
    Nov 2000

1997

  1. Algebraic covers: field of moduli versus field of definition
    by
    P. Dèbes, and J. Douai.
    In Ann. Sci. École Norm. Sup. (4),
    Nov 1997

1995

  1. Introduction to modular towers: generalizing dihedral group–modular curve connections
    by
    M. Fried.
    In Recent developments in the inverse Galois problem (Seattle, WA, 1993), Amer. Math. Soc., Providence, RI.
    Nov 1995

1989

  1. Variétés unirationnelles non rationnelles: au-delà de l’exemple d’Artin et Mumford
    by
    J. Colliot-Thélène, and M. Ojanguren.
    In Invent. Math.,
    Nov 1989

1976

  1. On the representations of the fundamental group
    by
    M. Nori.
    In Compositio Math.,
    Nov 1976

This bibliography list has been automatically generated with no attempt to correct error.