Lamy Works

Publication List:

Tits alternative for the 3-dimensional tame automorphism group

Joint work with

Submitted.
Generating the plane Cremona groups by involutions

Joint work with

Algebraic Geometry 11 (1), 111-162, 2024.

DOI: 10.14231/AG-2024-004
Introduction to a small cancellation theorem

Joint work with

Confluentes Mathematici, Tome 13(1), 79-102, 2021.

DOI: 10.5802/cml.73
Quotients of higher dimensional Cremona groups

Joint work with and

Acta Mathematica, Vol. 226, No. 2, 211-318, 2021.

DOI: 10.4310/ACTA.2021.v226.n2.a1
Presqu'un immeuble pour le groupe des automorphismes modérés (translation)

Joint work with

Annales Henri Lebesgue, Volume 4, 605-651, 2021.

DOI: 10.5802/ahl.83
Signature morphisms from the Cremona group over a non-closed field

Joint work with

Journal of the European Mathematical Society, 22(10), 3133–3173, 2020.
(video of a talk about this paper given at the CIRM on April 2018 by Susanna)

DOI: 10.4171/JEMS/983
Acylindrical hyperbolicity of the three-dimensional tame automorphism group

Joint work with

Annales Scientifiques de l'École Normale Supérieure, 52(2), 367-392, 2019.
(poster about this work for a conference in Basel in September 2016)

DOI: 10.24033/asens.2391
Combinatorics of the tame automorphism group

Annales de la Faculté des Sciences de Toulouse, 28(1), 145-207, 2019.

DOI: 10.5802/afst.1597
On birational maps from cubic threefolds

Joint work with

North-Western European Journal of Mathematics 1, 55-84, 2015.
The tame automorphism group of an affine quadric threefold acting on a square complex

Joint work with C. Bisi and

Journal de l'École polytechnique - Mathématiques 1, 161-223, 2014.
On the genus of birational maps between threefolds

In "Automorphisms in Birational and Affine Geometry", Springer Proceedings in Mathematics & Statistics 79, p. 141-147, 2014.
Birational self-maps and piecewise algebraic geometry

Joint work with

Journal of Mathematical Sciences, the University of Tokyo, 19(3), 325-357, 2012.
Weak Fano threefolds obtained by blowing-up a space curve and construction of Sarkisov links

Joint work with

Proceedings of the London Mathematical Society, 105(5), 1047-1075, 2012.
The tame and the wild automorphisms of an affine quadric threefold

Joint work with S. Vénéreau

Journal of the Mathematical Society of Japan, 65(1), 299-320, 2013.
Les huit publications ci-dessous (après ma thèse) ont fait l'objet de mon mémoire d'Habilitation
Groupes de transformations birationnelles de surfaces

soutenu le 8 octobre 2010 à Lyon.
Automorphisms of open surfaces with irreducible boundary

Joint work with

Osaka Journal of Mathematics 52(3), 747-791, 2015.
(an old version, with the different title "Variation on log Sarkisov program for surfaces", is available on arXiv)
Normal subgroups in the Cremona group (erratum)

Joint work with

Acta Mathematica 210, 31-94, 2013.
(With an appendix by Y. de Cornulier. The version on arXiv is a long version; the last chapter of my HDR contains a proof of the main result in a simplified context).
Normal subgroup generated by a plane polynomial automorphism (traduction)

Joint work with

Transformation Groups 15(3), 577-610, 2010.
Groupes d'automorphismes polynomiaux du plan (translation)

Joint work with

Geometriae Dedicata 123, 201-221, 2006.
Sur la structure du groupe d'automorphismes de certaines surfaces affines (translation)

Publicacions Matemàtiques 49(1), 3-20, 2005.
Automorphismes polynomiaux préservant une action de groupe

Boletin Sociedad Matemática Mexicana 9(1), 1-19, 2003.
(la note [C.R.Acad. Sci. Paris, t.328, Série 1, 883-886, 1999.] et la conférence (en espagnol) [Rev. Semin. Iberoam. Mat. Singul. Tordesillas 2 (1999), no. 6, 67-82.] contiennent des versions préliminaires).
Une preuve géométrique du théorème de Jung (translation)

Enseignement Mathématique 48(3-4), 291-315, 2002.
Dynamique des groupes paraboliques d'automorphismes de C²

Boletim da Sociedade Brasileira de Matemática 32(2), 185-212, 2001.
Les deux publications ci-dessous sont issues de ma thèse (directeur : D. Cerveau)
Automorphismes Polynomiaux du Plan Complexe : Étude Algébrique et Dynamique

soutenue le 12 janvier 2000 à Toulouse.
L'alternative de Tits pour Aut[C²] (translation)

Journal of Algebra 239, 413-437, 2001.
(la note [C.R. Acad. Sci. Paris, t.327, Série 1, 537-540, 1998] contient l'énoncé des résultats principaux avec idées de preuve)
Problèmes de densité d'orbites pour des groupes d'automorphismes de C²

C.R. Acad. Sci. Paris, t.329, Série 1, 807-810, 1999.