Kappa classes on KSBA spaces

Autor: Alexeev, Valery
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: We define kappa classes on moduli spaces of KSBA stable varieties and pairs, generalizing the Miller-Morita-Mumford classes on moduli of curves, and compute them in some cases where the virtual fundamental class is known to exist, including Burniat and Campedelli surfaces. For Campedelli surfaces, an intermediate step is finding the Chow (same as cohomology) ring of the GIT quotient $(\mathbb P^2)^7//SL(3)$.
Comment: v2: Added references. Comments welcome
Databáze: arXiv