Computing the Chern–Schwartz–MacPherson Class of Complete Simplical Toric Varieties

DOI10.1007/978-3-319-56932-1_13zbMath1383.14017arXiv1512.01739OpenAlexW3100698586MaRDI QIDQ4610006

Martin Helmer

Publication date: 5 April 2018

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

Full work available at URL: https://arxiv.org/abs/1512.01739

zbMATH Keywords

toric varietiesChern classcomputer algebraChern-Schwartz-MacPherson classcomputational intersection theory

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Computational aspects of higher-dimensional varieties (14Q15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Uses Software

• LinBox
• Macaulay2
• PARI/GP
• SageMath
• CSM-A
• CharacteristicClasses
• char-class-calc
• ChanToric

Cites Work

• Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties
• Chern classes for singular algebraic varieties
• Computing characteristic classes of projective schemes.
• A direct algorithm to compute the topological Euler characteristic and Chern-Schwartz-MacPherson class of projective complete intersection varieties
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