Chern numbers of smooth varieties via homotopy continuation and intersection theory

DOI10.1016/j.jsc.2010.06.026zbMath1200.14014arXiv0909.2111OpenAlexW2012523630MaRDI QIDQ607158

David Eklund, Sandra Di Rocco, Chris Peterson, Andrew John Sommese

Publication date: 19 November 2010

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0909.2111

zbMATH Keywords

surfacelinear systemhomotopy continuationpolynomial systemcurvenumerical algebraic geometrylinkage

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Low codimension problems in algebraic geometry (14M07) (Equivariant) Chow groups and rings; motives (14C15)

Related Items

Numerical polar calculus and cohomology of line bundles, Combinatorial excess intersection, A METHOD TO COMPUTE SEGRE CLASSES OF SUBSCHEMES OF PROJECTIVE SPACE, The Hilbert Series of the Ring Associated to an Almost Alternating Matrix, A Numerical Transcendental Method in Algebraic Geometry: Computation of Picard Groups and Related Invariants, The Bottleneck Degree of Algebraic Varieties, Computing characteristic classes and the topological Euler characteristic of complex projective schemes

Uses Software

• CoCoA
• HOM4PS
• HOMPACK90
• Macaulay2
• PHCpack
• SageMath
• SINGULAR
• ApaTools
• PHoM
• Bertini

Cites Work

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• Algorithm 777: HOMPACK90
• Introduction to Numerical Continuation Methods
• Algorithm 795
• Joins and Intersections
• Numerical Polynomial Algebra
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• Numerical primary decomposition
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• SAGE
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