Exceptional linear systems on curves on Del Pezzo surfaces

DOI10.1007/BF01445188zbMath0723.14004MaRDI QIDQ757506

Giuseppe Pareschi

Publication date: 1991

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164847

zbMATH Keywords

linear systemClifford indexgonalityKodaira divisorsmooth irreducible curve on a Del Pezzo surfacesyzygies of curves

Mathematics Subject Classification ID

Fano varieties (14J45) Vector bundles on curves and their moduli (14H60) Divisors, linear systems, invertible sheaves (14C20)

Related Items

Ulrich bundles on rational surfaces with an anticanonical pencil ⋮ Surjectivity of Gaussian maps for curves on Enriques surfaces ⋮ Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces ⋮ Green's conjecture for curves on rational surfaces with an anticanonical pencil ⋮ Canonical syzygies of smooth curves on toric surfaces ⋮ Brill-Noether theory of curves on Enriques surfaces. II: The Clifford index

Cites Work

• Unnamed Item
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• Special divisors on curves on a K3 surface
• Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
• On the projective normality of complete linear series on an algebraic curve
• Extension of morphisms defined on a divisor
• Brill-Noether-Petri without degenerations
• Cycles, curves and vector bundles on an algebraic surface
• Vector bundles of rank 2 and linear systems on algebraic surfaces
• Excess Linear Series on an Algebraic Curve
• Funktionen von vorgegebener Ordnung auf komplexen Kurven.
• Special Linear Systems on Curves Lying on a K 3 Surface

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