Comptes Rendus
no. 7
Algebraic geometry
Logarithmic geometry and the Milnor fibration
[Géometrie logarithmique et fibration de Milnor]

Présenté par : Claire Voisin

Thomas Cauwbergs1
1 Department of Mathematics, Section of Algebra, Celestijnenlaan 200b – Box 2400, 3001 Leuven, Belgium
Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 701-706.

Inspiré par une description de l'espace logarithmitique de Kato et Nakayama à l'aide des éclatements réels orientés, nous décrivons la fibration de Milnor et des constructions utilisées par A'Campo en termes de géométrie logarithmique.

Inspired by a description of the logarithmic space of Kato and Nakayama in terms of real oriented blowups, we describe Milnor fibrations and related constructions used by A'Campo in the language of logarithmic geometry.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2016.04.005

Thomas Cauwbergs 1

1 Department of Mathematics, Section of Algebra, Celestijnenlaan 200b – Box 2400, 3001 Leuven, Belgium 
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Thomas Cauwbergs. Logarithmic geometry and the Milnor fibration. Comptes Rendus. Mathématique, Volume 354 (2016) no. 7, pp. 701-706. doi : 10.1016/j.crma.2016.04.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.04.005/

[1] Norbert A'Campo La fonction zêta d'une monodromie, Comment. Math. Helv., Volume 50 (1975), pp. 233-248

[2] Kazuya Kato; Chikara Nakayama Log Betti cohomology, log étale cohomology, and log de Rham cohomology of log schemes over C, Kodai Math. J., Volume 22 (1999) no. 2, pp. 161-186

[3] Johannes Nicaise A trace formula for rigid varieties, and motivic Weil generating series for formal schemes, Math. Ann., Volume 343 (2009) no. 2, pp. 285-349

[4] Johannes Nicaise; Julien Sebag Motivic Serre invariants, ramification, and the analytic Milnor fiber, Invent. Math., Volume 168 (2007) no. 1, pp. 133-173

  • Jean-Baptiste Campesato; Goulwen Fichou; Adam Parusiński Motivic, logarithmic, and topological Milnor fibrations, Advances in Mathematics, Volume 461 (2025), p. 50 (Id/No 110075) | DOI:10.1016/j.aim.2024.110075 | Zbl:7967029
  • Javier Fernández de Bobadilla; Tomasz Pełka Symplectic monodromy at radius zero and equimultiplicity of μ-constant families, Annals of Mathematics. Second Series, Volume 200 (2024) no. 1, pp. 153-299 | DOI:10.4007/annals.2024.200.1.4 | Zbl:7995671
  • Kehong Tan; Hwa Haeng Lee Information Development and Student Talent Cultivation of Modern Chinese Language and Literature in the Context of Big Data, Applied Mathematics and Nonlinear Sciences, Volume 9 (2024) no. 1 | DOI:10.2478/amns.2023.2.00157
  • Jack Morava; Dale Rolfsen Toward the group completion of the Burau representation, Transactions of the American Mathematical Society, Volume 376 (2023) no. 3, pp. 1845-1865 | DOI:10.1090/tran/8796 | Zbl:1520.55016
  • Javier Fernández de Bobadilla Topological equisingularity: old problems from a new perspective (with an appendix by G.-M. Greuel and G. Pfister on Singular), Handbook of geometry and topology of singularities III, Cham: Springer, 2022, pp. 145-202 | DOI:10.1007/978-3-030-95760-5_3 | Zbl:1506.14010

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