Motivic classes of degeneracy loci and pointed Brill‐Noether varieties

DOI10.1112/jlms.12547zbMath1524.14067arXiv2010.05928OpenAlexW4213377285MaRDI QIDQ6134468

Nicola Tarasca, Linda Chen, David Anderson

Publication date: 22 August 2023

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

Full work available at URL: https://arxiv.org/abs/2010.05928

zbMATH Keywords

Brill-Noether locusmotivic Chern classcharacteristic classes of singularities

Mathematics Subject Classification ID

Special divisors on curves (gonality, Brill-Noether theory) (14H51) Classical problems, Schubert calculus (14N15) (K)-theory in geometry (19E99)

Related Items (1)

A pointed Prym–Petri Theorem

Cites Work

• A simple characteristic-free proof of the Brill-Noether theorem
• The Kodaira dimension of the moduli space of curves of genus \(\geq 23\)
• Flags, Schubert polynomials, degeneracy loci, and determinantal formulas
• The determinantal formula of Schubert calculus
• Perverse sheaves and the cohomology of Hilbert schemes of smooth algebraic surfaces
• Chern classes and characteristic cycles of determinantal varieties
• Vexillary degeneracy loci classes in \(K\)-theory and algebraic cobordism
• Chern-Schwartz-MacPherson classes of degeneracy loci
• A Pieri formula in the Grothendieck ring of a flag bundle
• Characteristic classes of Hilbert schemes of points via symmetric products
• Du Val curves and the pointed Brill-Noether theorem
• Degeneracy loci classes in \(K\)-theory -- determinantal and Pfaffian formula
• \(K\)-theoretic Chern class formulas for vexillary degeneracy loci
• Positivity of Chern classes of Schubert cells and varieties
• Characteristic Classes of Singular Toric Varieties
• Chern classes of Schubert cells and varieties
• HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
• Stratifiable Maps and Topological Invariants
• Chern class formulas for classical-type degeneracy loci
• Chern-Schwartz-Macpherson Classes and the Euler Characteristic of Degeneracy Loci and Special Divisors
• Euler characteristics of Brill-Noether varieties
• Motivic Chern classes and K‐theoretic stable envelopes
• The Gieseker–Petri theorem and imposed ramification
• Chern–Schwartz–MacPherson classes for Schubert cells in flag manifolds
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