Special divisors and vector bundles

DOI10.2748/tmj/1178228323zbMath0631.14021OpenAlexW2090651787MaRDI QIDQ1094489

Narasimhan Sundaram

Publication date: 1987

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228323

zbMATH Keywords

Riemann surfaceBrill-Noether theorystable bundles

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Families, moduli of curves (algebraic) (14H10) Algebraic moduli problems, moduli of vector bundles (14D20) Divisors, linear systems, invertible sheaves (14C20)

Related Items

NONEMPTINESS OF BRILL–NOETHER LOCI ⋮ Special line bundles on curves with involution ⋮ Generalised parabolic bundles and applications to torsionfree sheaves on nodal curves ⋮ Moduli of pairs and generalized theta divisors ⋮ Singular locus of the theta divisor for vector bundles of rank two ⋮ A NOTE ON RANK TWO STABLE BUNDLES OVER SURFACES ⋮ Brill–Noether loci of rank 2 vector bundles on a general $\nu $-gonal curve ⋮ The Hodge conjecture for certain moduli varieties ⋮ Higher-rank Brill-Noether loci on nodal reducible curves ⋮ Brill-Noether theory for vector bundles of rank 2 ⋮ On coherent systems of type \((n, d, n+1)\) on Petri curves ⋮ Some results on the existence of rank two special stable vector bundles ⋮ On the Gieseker-Petri map for rank 2 vector bundles ⋮ The restricted tangent bundle of smooth curves in Grassmannians and curves in flag varieties ⋮ Torsion-free sheaves on nodal curves and triples ⋮ Deformations of Picard sheaves and moduli of pairs ⋮ Brill-Noether theory for stable vector bundles ⋮ On the osculating bundles of curves in \(\mathbf P^n\) ⋮ Singularities of Brill-Noether loci for vector bundles on a curve ⋮ Moduli spaces of bundles and Hilbert schemes of scrolls over \(\nu \)-gonal curves ⋮ Coherent Systems and Brill–Noether Theory ⋮ EXISTENCE OF COHERENT SYSTEMS II

Cites Work

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• On the variety of special linear systems on a general algebraic curve
• Openness of a family of torsion free sheaves
• Lectures on introduction to moduli problems and orbit spaces
• On the Existence of Special Divisors