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arXiv · 1403.2517

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

Benjamin Collas·Sylvain Maugeais
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Abstract

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.

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Benjamin Collas, Sylvain Maugeais. 2014-03-11. Composantes irréductibles de lieux spéciaux d'espaces de modules de courbes, action galoisienne en genre quelconque. https://arxiv.org/abs/1403.2517

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