Numerical polar calculus and cohomology of line bundles

DOI10.1016/j.aam.2018.06.002zbMath1395.14040arXiv1709.08674OpenAlexW2963598524WikidataQ129555563 ScholiaQ129555563MaRDI QIDQ1661487

Chris Peterson, David Eklund, Sandra Di Rocco

Publication date: 16 August 2018

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.08674

zbMATH Keywords

algorithmEuler characteristiccomputer algebraalgebraic varietiesline bundlesnumerical algebraic geometrypolar classes

Mathematics Subject Classification ID

Computational aspects of higher-dimensional varieties (14Q15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Software, source code, etc. for problems pertaining to algebraic geometry (14-04) Classical problems, Schubert calculus (14N15)

Related Items (1)

The Bottleneck Degree of Algebraic Varieties

Uses Software

• Macaulay2
• Bertini
• CharacteristicClasses
• FMPIntersectionTheory

Cites Work

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• Computing Segre classes in arbitrary projective varieties
• Chern numbers of smooth varieties via homotopy continuation and intersection theory
• The complexity of computing the Hilbert polynomial of smooth equidimensional complex projective varieties
• Riemann-Roch for singular varieties
• Computing intersection numbers of Chern classes
• Computing characteristic classes and the topological Euler characteristic of complex projective schemes
• Polar Varieties Revisited
• Polar classes of singular varieties
• Nearest points on toric varieties
• The Euclidean distance degree of an algebraic variety

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