Equivariant Cobordism of Smooth Projective Spherical Varieties

Author:

July HenryORCID

Abstract

AbstractWe study the equivariant cobordism rings for the action of a torusTon smooth varieties over an algebraically closed field of characteristic zero. We prove a theorem describing the rationalT-equivariant cobordism rings of smooth projectiveG-spherical varieties with the action of a maximal torusTofG. As an application, we obtain explicit presentations for the rational equivariant cobordism rings of smooth projective horospherical varieties of Picard number one.

Funder

Deutsche Forschungsgemeinschaft

Bergische Universität Wuppertal

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Reference28 articles.

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