Computing characteristic classes and the topological Euler characteristic of complex projective schemes
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Publication:2325358
DOI10.2140/jsag.2015.7.31zbMath1422.14017arXiv1301.4125OpenAlexW3100077935MaRDI QIDQ2325358
Publication date: 25 September 2019
Published in: The Journal of Software for Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1301.4125
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)
Related Items (11)
A Numerical Approach for Computing Euler Characteristics of Affine Varieties ⋮ Segre Classes and Invariants of Singular Varieties ⋮ Numerical polar calculus and cohomology of line bundles ⋮ On the Euler characteristic of a relative hypersurface ⋮ A Macaulay2 package for computations with rational maps ⋮ The Euclidean distance degree of smooth complex projective varieties ⋮ THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME ⋮ CharacteristicClasses ⋮ Scattering equations: from projective spaces to tropical Grassmannians ⋮ On some families of Gushel-Mukai fourfolds ⋮ An algorithmic approach to Chevalley’s Theorem on images of rational morphisms between affine varieties
Uses Software
Cites Work
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- Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties
- Chern numbers of smooth varieties via homotopy continuation and intersection theory
- Computing characteristic classes of projective schemes.
- The maximum likelihood degree of a very affine variety
- A METHOD TO COMPUTE SEGRE CLASSES OF SUBSCHEMES OF PROJECTIVE SPACE
- The maximum likelihood degree
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