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- W2912253187 abstract "Let $X subset Y$ be closed (possibly singular) subschemes of a smooth projective toric variety $T$. We show how to compute the Segre class $s(X,Y)$ as a class in the Chow group of $T$. Building on this, we give effective methods to compute intersection products in projective varieties, to determine algebraic multiplicity without working in local rings, and to test pairwise containment of subvarieties of $T$. Our methods may be implemented without using Groebner bases; in particular any algorithm to compute the number of solutions of a zero-dimensional polynomial system may be used." @default.
- W2912253187 created "2019-02-21" @default.
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- W2912253187 date "2019-05-24" @default.
- W2912253187 modified "2023-10-01" @default.
- W2912253187 title "Segre class computation and practical applications" @default.
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- W2912253187 doi "https://doi.org/10.1090/mcom/3448" @default.
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