Chern-Schwartz-Macpherson Classes and the Euler Characteristic of Degeneracy Loci and Special Divisors

DOI10.2307/2152829zbMath0857.14003OpenAlexW4234716127MaRDI QIDQ4874222

Adam Parusiński, Piotr Pragacz

Publication date: 11 March 1997

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2152829

zbMATH Keywords

Euler characteristicdesingularizationsingular varietiesdegeneracy locusBrill-Noether locusChern-Schwartz-MacPherson classes

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Characteristic classes and numbers in differential topology (57R20) Divisors, linear systems, invertible sheaves (14C20) Topological properties in algebraic geometry (14F45)

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A pointed Prym–Petri Theorem ⋮ Notes on varieties of codimension 3 in \(\mathbb{P}^ N\) ⋮ Characteristic Classes ⋮ Milnor Number and Chern Classes for Singular Varieties: An Introduction ⋮ Betti numbers of Brill-Noether varieties on a general curve ⋮ How many hypersurfaces does it take to cut out a Segre class? ⋮ On topological Radon transformations ⋮ On the sheaf-theoretic \(\mathrm{SL}(2,\mathbb{C})\) Casson-Lin invariant ⋮ Chern classes and characteristic cycles of determinantal varieties ⋮ Motivic classes of degeneracy loci and pointed Brill‐Noether varieties ⋮ A note on nodal determinantal hypersurfaces ⋮ Framed sheaves on root stacks and supersymmetric gauge theories on ALE spaces ⋮ Euler characteristics of Brill-Noether loci on Prym varieties ⋮ Pfaffian integrals and invariants of singular varieties ⋮ Chern classes of Schubert cells and varieties ⋮ Radon transforms of constructible functions on Grassmann manifolds ⋮ The distance function from a real algebraic variety ⋮ An application of bivariant theory to Milnor classes ⋮ THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME ⋮ Chern-Schwartz-MacPherson classes of degeneracy loci ⋮ Motivic characteristic classes in cohomological Hall algebras ⋮ Unnamed Item ⋮ Chern class formulas for $G_{2}$ Schubert loci ⋮ ħ-Deformed Schubert Calculus in Equivariant Cohomology, K-Theory, and Elliptic Cohomology

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