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

DOI10.1016/j.tcs.2017.03.029zbMath1378.14061arXiv1410.4113OpenAlexW2281873354MaRDI QIDQ2357363

Martin Helmer

Publication date: 13 June 2017

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.4113

zbMATH Keywords

Chern classEuler characteristiccomputer algebraChern-Schwartz-MacPherson classcomputational intersection theory

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Computational aspects of higher-dimensional varieties (14Q15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Complete intersections (14M10) Software, source code, etc. for problems pertaining to algebraic geometry (14-04)

Related Items (5)

Segre-driven radicality testing ⋮ Computing the Chern–Schwartz–MacPherson Class of Complete Simplical Toric Varieties ⋮ Virtual classes for the working mathematician ⋮ THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME ⋮ Probabilistic Saturations and Alt’s Problem

Uses Software

• Macaulay2
• PHCpack
• SageMath
• Bertini
• CSM-A
• CharacteristicClasses

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