Chern Classes and Transversality for Singular Spaces

DOI10.1007/978-3-319-39339-1_13zbMath1427.14015arXiv1510.01986OpenAlexW2256887813MaRDI QIDQ4973339

Jörg Schürmann

Publication date: 3 December 2019

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.01986

zbMATH Keywords

transversalityChern classescharacteristic cycleEuler obstructionnon-characteristic pullbackVerdier-Riemann-Roch

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems (14C40) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)

Related Items (8)

Characteristic Classes ⋮ Milnor Number and Chern Classes for Singular Varieties: An Introduction ⋮ Constructible Sheaf Complexes in Complex Geometry and Applications ⋮ Spectral Hirzebruch-Milnor classes of singular hypersurfaces ⋮ Shadows of characteristic cycles, Verma modules, and positivity of Chern-Schwartz-MacPherson classes of Schubert cells ⋮ Geometric properties of the Kazhdan-Lusztig Schubert basis ⋮ The Euclidean distance degree of smooth complex projective varieties ⋮ Structure constants for Chern classes of Schubert cells

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Towards transversality of singular varieties: splayed divisors
• Hirzebruch L-homology classes and the intersection formula
• On the uniqueness of bivariant Chern class and bivariant Riemann--Roch transformations
• Donaldson-Thomas type invariants via microlocal geometry
• Index formula for MacPherson cycles of affine algebraic varieties
• Characteristic varieties and vanishing cycles
• \({\mathfrak G}\)-module, Springer's representations and bivariant Chern classes
• Intersection formula for Stiefel-Whitney homology classes
• Intersection homology theory
• Chern classes for singular algebraic varieties
• On a Verdier-type Riemann-Roch for Chern-Schwartz-MacPherson class
• Euler obstruction and indices of vector fields
• Product formula for twisted MacPherson classes
• Splayed divisors and their Chern classes
• Characteristic classes of mixed Hodge modules
• Chern Classes of Splayed Intersections
• Macpherson's chern classes of singular algebraic varieties
• HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
• Une nouvelle preuve de la concordance des classes définies par M.-H. Schwartz et par R. MacPherson
• Categorical framework for the study of singular spaces
• A general intersection formula for Lagrangian cycles
• Stiefel-Whitney classes and the conormal cycle of a singular variety
• Lectures on Characteristic Classes of Constructible Functions

This page was built for publication: Chern Classes and Transversality for Singular Spaces