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arXiv · 2312.00559

A geometric $C_2$-equivariant B\'{e}zout Theorem

Steven R. Costenoble·Thomas Hudson
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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 $C_2$-equivariant hypersurfaces in $C_2$-equivariant linear projective space, expressing the intersection as a linear combination of equivariant Schubert varieties.

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Steven R. Costenoble, Thomas Hudson. 2023-12-01. A geometric $C_2$-equivariant B\'{e}zout Theorem. https://arxiv.org/abs/2312.00559

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