Euler characteristics of Brill-Noether varieties

DOI10.1090/tran/8164zbMath1464.14032arXiv1708.09378OpenAlexW3016566165MaRDI QIDQ4963621

Melody Chan, Nathan Pflueger

Publication date: 19 February 2021

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

Full work available at URL: https://arxiv.org/abs/1708.09378

zbMATH Keywords

Euler characteristiclimit linear seriesset-valued tableauxBrill-Noether varietiesgeneral genus \(g\) curve

Mathematics Subject Classification ID

Symmetric functions and generalizations (05E05) Grassmannians, Schubert varieties, flag manifolds (14M15) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (12)

A pointed Prym–Petri Theorem ⋮ Lazy tournaments and multidegrees of a projective embedding of \(\overline{M}_{0,n}\) ⋮ Reduced word enumeration, complexity, and randomization ⋮ Free-fermions and skew stable Grothendieck polynomials ⋮ Combinatorial relations on skew Schur and skew stable Grothendieck polynomials ⋮ Relative Bott-Samelson varieties ⋮ On the \(q\)-enumeration of barely set-valued tableaux and plane partitions ⋮ Motivic classes of degeneracy loci and pointed Brill‐Noether varieties ⋮ The Gieseker–Petri theorem and imposed ramification ⋮ Relative Richardson varieties ⋮ A generalized RSK for enumerating linear series on \(n\)-pointed curves ⋮ Approximate counting of standard set-valued tableaux

Cites Work

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• Limit linear series for curves not of compact type
• Combinatorial relations on skew Schur and skew stable Grothendieck polynomials
• Linked determinantal loci and limit linear series
• A theorem of Gieseker-Petri type for Prym varieties
• Genera of Brill-Noether curves and staircase paths in Young tableaux
• Brill–Noether loci in codimension two
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