The Gieseker–Petri theorem and imposed ramification

DOI10.1112/blms.12273zbMath1454.14090arXiv1804.00178OpenAlexW3100529619MaRDI QIDQ5110581

Brian Osserman, Nathan Pflueger, Melody Chan

Publication date: 21 May 2020

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

Full work available at URL: https://arxiv.org/abs/1804.00178

zbMATH Keywords

Schubert varietiesdegenerationGrassmannianramificationlinear seriesalmost-transverse flags

Mathematics Subject Classification ID

Grassmannians, Schubert varieties, flag manifolds (14M15) Special divisors on curves (gonality, Brill-Noether theory) (14H51)

Related Items (5)

A crystal on decreasing factorizations in the 0-Hecke monoid ⋮ Relative Bott-Samelson varieties ⋮ Motivic classes of degeneracy loci and pointed Brill‐Noether varieties ⋮ Relative Richardson varieties ⋮ Brill-Noether loci with ramification at two points

Cites Work

• Tropical independence I: Shapes of divisors and a proof of the Gieseker-Petri theorem
• A simple characteristic-free proof of the Brill-Noether theorem
• A simpler proof of the Gieseker-Petri theorem on special divisors
• A geometric Littlewood-Richardson rule
• A Littlewood-Richardson rule for two-step flag varieties
• Stable curves and special divisors: Petri's conjecture
• Limit linear series: Basic theory
• On the variety of special linear systems on a general algebraic curve
• Singular loci of Schubert varieties
• 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
• Euler characteristics of Brill-Noether varieties
• Connectedness of Brill–Noether Loci via Degenerations
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