Brill-Noether loci and generated torsionfree sheaves over nodal and cuspidal curves

DOI10.1007/s00229-012-0571-0zbMath1273.14070OpenAlexW2043348495MaRDI QIDQ1949795

Sanjay Kumar Singh, Usha N. Bhosle

Publication date: 17 May 2013

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-012-0571-0

zbMATH Keywords

curvesemistabilityPicard bundlenodalBrill-Noether locicuspidalglobally generated torsion-free sheaves

Mathematics Subject Classification ID

Algebraic moduli problems, moduli of vector bundles (14D20) Vector bundles on curves and their moduli (14H60)

Related Items (6)

Higher rank Brill—Noether theory and coherent systems open questions ⋮ Picard bundle on the moduli space of torsionfree sheaves ⋮ Mukai's program (reconstructing a \(K3\) surface from a curve) via wall-crossing ⋮ Projective Poincaré and Picard bundles for moduli spaces of vector bundles over nodal curves ⋮ Embedding of a compactified Jacobian and theta divisors ⋮ Recent results on vector bundles, principal bundles and related topics

Cites Work

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• Normal generation of vector bundles over a curve
• Generalised parabolic bundles and applications to torsionfree sheaves on nodal curves
• Picard Bundles and Brill–Noether Loci in the Compactified Jacobian of a Nodal Curve
• AUTODUALITY OF THE COMPACTIFIED JACOBIAN
• Fibrés vectoriels spéciaux
• Le probleme de Brill-Noether pour des fibres stables de petites pentes
• BRILL–NOETHER THEORY ON NODAL CURVES
• MAXIMAL SUBSHEAVES OF TORSION-FREE SHEAVES ON NODAL CURVES

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