Equivariant cobordism of smooth projective spherical varieties

Abstract

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

References in corpus (5)

• Algebraic cobordism
• Geometry of horospherical varieties of Picard rank one
• Algebraic Cobordism of Classifying Spaces
• Cobordism of flag bundles
• Equivariant $K$-theory of smooth projective spherical varieties