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.
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