vix.ing · top · new · best · stats · spec

Automorphisms of crepant resolutions for quotient spaces

1995/06/29 by Anatoly Libgober, A. Libgober, Libgober, A.
Mathematics · #14J32 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds #alg-geom #math.AG #msc:14J32

paper · pdf · doi:10.48550/arxiv.alg-geom/9506025

11 pages, PlainTex

arxiv created 1995/06/29 · openalex publication_date 1995/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A formula for calculating the Lefschetz number of an automorphism acting on a crepant resolution for a quotient of a Kahler manifold derived from an equivariant version of McKay correspondence. The latter is proven in some cases. As an application the Lefschetz numbers of of involutions acting on Calabi-Yau threefolds and their mirrors are compared.

Related