Computing characteristic classes of subschemes of smooth toric varieties

DOI10.1016/j.jalgebra.2016.12.024zbMath1397.14068arXiv1508.03785OpenAlexW2540034840MaRDI QIDQ511874

Martin Helmer

Publication date: 22 February 2017

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.03785

zbMATH Keywords

toric varietiesChern classEuler characteristicSegre classcomputer algebraChern-Schwartz-MacPherson classcomputational intersection theory

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Computational aspects of higher-dimensional varieties (14Q15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10)

Related Items (5)

Segre Classes and Invariants of Singular Varieties ⋮ Computing Segre classes in arbitrary projective varieties ⋮ THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME ⋮ Scattering equations: from projective spaces to tropical Grassmannians ⋮ Segre class computation and practical applications

Uses Software

• Macaulay2
• CSM-A
• CharacteristicClasses
• FMPIntersectionTheory
• Book3264Examples

Cites Work

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• On Milnor classes via invariants of singular subschemes

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