The geometric and numerical properties of duality in projective algebraic geometry

DOI10.1007/BF01259325zbMath0657.14033MaRDI QIDQ1110609

Audun Holme

Publication date: 1988

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155307

zbMATH Keywords

projectionsdualityChern classesdegrees of the polar classes

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Projective techniques in algebraic geometry (14N05)

Related Items

Degrees of Kalman varieties of tensors ⋮ Conormal spaces and Whitney stratifications ⋮ Topological Radon transforms and degree formulas for dual varieties ⋮ Projective duality and a Chern-Mather involution ⋮ Coisotropic hypersurfaces in Grassmannians ⋮ Hyperdeterminants of polynomials ⋮ Isotropic and coisotropic subvarieties of Grassmannians ⋮ Supersingular \(K3\) surfaces for large primes. With an Appendix by Andrew Snowden. ⋮ Polar degrees and closest points in codimension two ⋮ Algebraic boundaries among typical ranks for real binary forms of arbitrary degree ⋮ Computing Segre classes in arbitrary projective varieties ⋮ Calculating Discriminants by Higher Direct Images ⋮ The product of the eigenvalues of a symmetric tensor ⋮ The Euclidean distance degree of an algebraic variety ⋮ Asymptotics of degrees and ED degrees of Segre products ⋮ Linear recurrence sequences and the duality defect conjecture

Cites Work

• Varieties with small dual varieties. I
• Varieties with small dual varieties. II
• Duality of numerical characters of polar loci
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Tangency and Duality Over Arbitrary Fields
• A computer aided approach to codimension 2 subvarities of Pn, n6.
• Polar classes of singular varieties
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