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- W2328480409 abstract "Let V be a closed subscheme of a projective space P. We give algorithms to compute the Chern-Schwartz-MacPherson class, Euler characteristic and Segre class of V . These algorithms can be implemented using either symbolic or numerical methods. The basis for these algorithms is a method for calculating the projective degrees of a rational map defined by a homogeneous ideal. When combined with formula for the Chern-Schwartz-MacPherson class of a projective hypersurface and the Segre class of a projective variety in terms of the projective degrees of certain rational maps this gives us algorithms to compute the Chern-SchwartzMacPherson class and Segre class of a projective variety. Since the Euler characteristic of V is the degree of the zero dimensional component of the Chern-Schwartz-MacPherson class of V our algorithm also computes the Euler characteristic χ(V ). The algorithms are tested on several examples and are found to perform favourably compared to other algorithms for computing Chern-Schwartz-MacPherson classes, Segre classes and Euler characteristics." @default.
- W2328480409 created "2016-06-24" @default.
- W2328480409 creator A5018927033 @default.
- W2328480409 date "2015-08-14" @default.
- W2328480409 modified "2023-09-25" @default.
- W2328480409 title "Algorithms to compute chern-schwartz-macpherson and segre classes and the euler characteristic" @default.
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- W2328480409 doi "https://doi.org/10.1145/2815111.2815134" @default.
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