Geodesic
Segre classes as integrals over polytopes
Journal of the European Mathematical Society, Tome 18 (2016) no. 12, pp. 2849-2863

Voir la notice de l'article provenant de la source EMS Press

We express the Segre class of a monomial scheme – or, more generally, a scheme monomially supported on a set of divisors cutting out complete intersections – in terms of an integral computed over an associated body in Euclidean space. The formula is in the spirit of the classical Bernstein–Kouchnirenko theorem computing intersection numbers of equivariant divisors in a torus in terms of mixed volumes, but deals with the more refined intersection-theoretic invariants given by Segre classes, and holds in the less restrictive context of ‘r.c. monomial schemes’.
DOI : 10.4171/jems/655
Classification : 14-XX
Keywords: Segre classes, monomial ideals, Newton polyhedra 
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     author = {Paolo Aluffi},
     title = {Segre classes as integrals over polytopes},
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Paolo Aluffi. Segre classes as integrals over polytopes. Journal of the European Mathematical Society, Tome 18 (2016) no. 12, pp. 2849-2863. doi: 10.4171/jems/655

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