Composantes irréductibles de lieux spéciaux d’espaces de modules de courbes, action galoisienne en genre quelconque

Title data

Collas, Benjamin ; Maugeais, Sylvain:
Composantes irréductibles de lieux spéciaux d’espaces de modules de courbes, action galoisienne en genre quelconque.
In: Annales de l'institut Fourier. Vol. 65 (2015) Issue 1 . - pp. 245-276.
ISSN 1777-5310
DOI: https://doi.org/10.5802/aif.2930

Official URL:

Abstract in another language

In this paper we characterise the action of the absolute Galois group on the geometric finite cyclic groups without étale factorization of stack inertia of the profinite geometric fundamental group of moduli spaces of marked curves. As a complementary result, we give the same action on prime order profinite elements in genus 2.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Additional notes:	Irreducible components of special loci in moduli spaces of curves, Galois action in general genus
Keywords:	algebraic fundamental group; stack inertia; special loci; good groups
Subject classification:	11R32, 14H10, 14H30, 14H45
Institutions of the University:	Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory) > Chair Mathematics IV (Number Theorie) - Univ.-Prof. Dr. Michael Dettweiler Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics IV (Number Theory)
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	14 Jan 2016 12:29
Last Modified:	14 Jan 2016 12:29
URI:	https://eref.uni-bayreuth.de/id/eprint/29673