A direct algorithm to compute the topological Euler characteristic and Chern-Schwartz-MacPherson class of projective complete intersection varieties

نویسنده

  • Martin Helmer
چکیده

Let V be a possibly singular scheme-theoretic complete intersection subscheme of P over an algebraically closed field of characteristic zero. Using a recent result of Fullwood (“On Milnor classes via invariants of singular subschemes”, Journal of Singularities) we develop an algorithm to compute the Chern-Schwartz-MacPherson class and Euler characteristic of V . This algorithm complements existing algorithms by providing performance improvements in the computation of the Chern-Schwartz-MacPherson class and Euler characteristic for certain types of complete intersection subschemes of P.

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عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 681  شماره 

صفحات  -

تاریخ انتشار 2017