The Euclidean distance degree of smooth complex projective varieties
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Publication:1755594
DOI10.2140/ant.2018.12.2005zbMath1435.14009arXiv1708.00024OpenAlexW3100471031WikidataQ128729178 ScholiaQ128729178MaRDI QIDQ1755594
Publication date: 10 January 2019
Published in: Algebra \& Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.00024
Real algebraic sets (14P05) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Characteristic classes and numbers in differential topology (57R20)
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Cites Work
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- The Euclidean distance degree of Fermat hypersurfaces
- The number of singular vector tuples and uniqueness of best rank-one approximation of tensors
- Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties
- Tensored Segre classes
- Computing Segre classes in arbitrary projective varieties
- Chern classes for singular algebraic varieties
- Chern classes of automorphic vector bundles.
- Computing characteristic classes of projective schemes.
- Singular schemes of hypersurfaces
- Euler characteristics of general linear sections and polynomial Chern classes
- Computing characteristic classes and the topological Euler characteristic of complex projective schemes
- Chern classes for singular hypersurfaces
- Projective duality and a Chern-Mather involution
- Differential forms with logarithmic poles and Chern-Schwartz-MacPherson classes of singular varieties
- Chern classes of logarithmic derivations for free divisors with Jacobian ideal of linear type
- Chern Classes and Transversality for Singular Spaces
- A polynomial generalization of the Euler characteristic for algebraic sets
- The Euclidean distance degree of an algebraic variety
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