Wahl maps and extensions of canonical curves and \(K3\) surfaces
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Publication:1985542
DOI10.1515/crelle-2018-0016zbMath1443.14036arXiv1802.04618OpenAlexW3103265475MaRDI QIDQ1985542
Edoardo Sernesi, Ciro Ciliberto, Thomas Dedieu
Publication date: 7 April 2020
Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.04618
Rational and ruled surfaces (14J26) Plane and space curves (14H50) (K3) surfaces and Enriques surfaces (14J28) Projective techniques in algebraic geometry (14N05)
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Cites Work
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- Explicit Brill-Noether-Petri general curves
- Moduli of nodal curves on \(K3\) surfaces
- Corrigendum to ``On \(k\)-gonal loci in Severi varieties on general \(K3\) surfaces and rational curves on hyperkähler manifolds
- Special divisors on curves on a K3 surface
- The moduli of singular curves on \(K3\) surfaces
- A cohomological characterization of \({\mathbb{P}}^ n\)
- Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
- The Jacobian algebra of a graded Gorenstein singularity
- Deformations of quasi-homogeneous surface singularities
- Sections hyperplanes des surfaces K3
- On Hartshorne's conjecture
- Extensions of projective varieties and deformations. I
- On the Wahl map of curves with Brill-Noether-Petri condition
- Petri's approach to the study of the ideal associated to a special divisor
- Projective degenerations of \(K3\) surfaces, Gaussian maps, and Fano threefolds
- On the Gaussian map for canonical curves of low genus
- On the surjectivity of the Wahl map
- Deformations of singularities
- Rank-two vector bundles on Halphen surfaces and the Gauss-Wahl map for du Val curves
- Gaussian maps on algebraic curves
- Gaussian maps of plane curves with nine singular points
- Lectures on K3 Surfaces
- A standard basis approach to syzygies of canonical curves.
- Deformations of Algebraic Schemes
- Courbes tétragonales et cohomologie de Koszul.
- Projective Models of K - 3 Surfaces
- On Cohomology of the Square of an Ideal Sheaf
- ON THE CORANK OF A WAHL MAP ON SMOOTH CURVES WITH A PLANE MODEL
- On hyperplane sections of K3 surfaces
- A Simple Proof of Tyurin's Babylonian Tower Theorem
- Surjectivity of Gaussian maps for curves on Enriques surfaces
- On the degree of Fano threefolds with canonical Gorenstein singularities