Newton-Okounkov bodies and Segre classes

DOI10.1353/ajm.2021.0038zbMath1476.14013arXiv1809.07344OpenAlexW3206392973MaRDI QIDQ5014717

Paolo Aluffi

Publication date: 8 December 2021

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.07344

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

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• Newton-Okounkov bodies, semigroups of integral points, graded algebras and intersection theory
• Segre classes as integrals over polytopes
• Computing characteristic classes of projective schemes.
• The Segre zeta function of an ideal
• Note on the Grothendieck Group of Subspaces of Rational Functions and Shokurov's Cartier b-divisors
• Convex bodies associated to linear series
• Mixed volume and an extension of intersection theory of divisors

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