Virtual classes of Artin stacks

Abstract

We construct virtual fundamental classes of Artin stacks over a Dedekind domain endowed with a perfect obstruction theory.

12 pages, comments welcome

References in corpus (2)

• Deformation theory from the point of view of fibered categories
• Higher-genus Gromov-Witten invariants as genus 0 invariants of symmetric products

Cited by in corpus (5)

• Tangent curves to degenerating hypersurfaces
• On the asymptotic enumerativity property for Fano manifolds
• The Moduli of Sections Has a Canonical Obstruction Theory
• Virtual Coulomb branch and vertex functions
• Virtual classes of ${\mathbb{G}}_{\text{m}}$-gerbes