Etale homotopy types of moduli stacks of algebraic curves with symmetries
Paola Frediani, Frank Neumann
Abstract
Using the machinery of etale homotopy theory a' la Artin-Mazur we determine the etale homotopy types of moduli stacks over parametrizing families of algebraic curves of genus g greater than 1 endowed with an action of a finite group G of automorphisms, which comes with a fixed embedding in the mapping class group, such that in the associated complex analytic situation the action of G is precisely the differentiable action induced by this specified embedding of G in the mapping class group.
Create a lesson
Related papers
Smoothness criterion for Fano orbifolds and bases of Lagrangian fibrations
Zhiyu Liu
A prismatic Riemann-Hilbert correspondence
Dylan Pentland
Deformations of Holomorphic p-Contact Structures
Dan Popovici
On the Structure of Radical Towers and their Parametrizations
Javier Sendra-Arranz, Juan Rafael Sendra, Juana Sendra
Chow groups of symmetric products of projective space
Youming Chen, Wenchuan Hu
Stable atomic vector bundles are 1-obstructed
Hanfei Guo