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Seminar in Algebraic Geometry: “Admissible cover cycles in the moduli space of stable curves”

Thursday, May 16th, 2019, 14:00 - Room 2AB40 - Johannes Schmitt

ARGOMENTI: Seminars

“Admissible cover cycles in the moduli space of stable curves”
Thursday, May 16th, 2019, 14:00
Room 2AB40
Johannes Schmitt (ETH Zürich)

Abstract
Inside the moduli space of stable curves there are closed subsets defined by the condition that the curve C admits a finite cover of a second curve D with specified ramification behavior. I will show how these sets can be parametrized by nice smooth and proper moduli spaces. In many cases, this parametrization can be used to compute the fundamental class of such admissible cover loci in the cohomology group of the moduli space. This is joint work with Jason van Zelm.