A geometric C2-equivariant B\'ezout Theorem
Abstract
Classically, B\'ezout's theorem says that an intersection of hypersurfaces in a projective space is rationally equivalent to a number of copies of a smaller projective space, the number depending on the degrees of the hypersurfaces. We give a generalization of that result to the context of C2-equivariant hypersurfaces in C2-equivariant linear projective space, expressing the intersection as a linear combination of equivariant Schubert varieties.
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