On cohomology of the square of an ideal sheaf

Journal of Algebraic Geometry

Volumn 6, Issue 3, 1997, Pages 481-511

  Wahl, Jonathan ^a  

^a The University of North Carolina at Chapel Hill   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744459064     PISSN: 10563911     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. [B] A. Bertram, Moduli of rank-2 vector bundles, theta divisors, and the geometry of curves in projective space, J. Differential Geom. 35 (1992) 429-469.
2. [C-M] C. Ciliberto and H. P. Miranda, On the Gaussian map for canonical curves of low genus, Duke Math. J. 61 (1990) 417-443.
3. [E] D. H. J. Epeina, Surfaces with canonical hyperplane sections, Indagationes Math. 45 (1983) 173-184.
4. [G-L] M. Green and R. Lazarsfeld, Special divisors on curves on a K3 surface, Invent. Math. 89 (1987) 357-370.
5. [H] J. Herzog, Ein Cohen-Macaulay Kriterium mit Anwendungen auf den Konormalenmodul und den Differentialmodul, Math Z. 163 (1978) 149-162.
6. [K] S. Kumar, Proof of Wahl's conjecture on surjectivity of the Gaussian map for flag varieties, Amer. J. Math. 114 (1992) 1201-1220.
7. [L] R. Lazarsfeld, A sampling of vector bundle techniques in the study of linear series, Lectures on Riemann Surfaces (M. Cornalba et al, eds.), World Scientific Press, Singapore, 1989, pp. 500-559.
8. [Mk] S. Mukai, Curves, K3 surfaces, and Fano 3-folds of genus ≤ 10, Algebraic Geometry and Commutative Algebra, Vol. I, Kinokuniya, Tokyo, 1988, pp. 357-377.
9. [Mu] D. Mumford, Varieties defined by quadratic equations, Questions On Algebraic Varieties (C.I.M.E. 1969), Corso, Rome, 1970, pp. 30-100.
10. m-action, Astérisque 20 (1974) 1-131.
11. [R] J. Rathmann, An infinitesimal approach to a conjecture of Eisenbud and Harris, preprint.
12. [S] F.-O. Schreyer, Syzygies of canonical curves and special linear series, Math. Ann. 275 (1986) 105-137.
13. [St] J. Stevens, Computing versal deformations, preprint (1995).
14. [T] M. Thaddeus, Stable pairs, linear systems, and the Verlinde formula, Invent. Math. 117 (1994) 317-353.
15. [V] C. Voisin, Courbes tetragonales et cohomologie de Koszul, J. Reine Angew. Math. 387 (1988) 111-121.
16. [W1] J. Wahl, Equisingular deformations of normal surface singularities, I, Ann. Math. 104 (1976) 325-356.
17. [W2] _, The Jacobian algebra of a graded Gorenstein singularity, Duke Math. J. 55 (1987) 813-871.
18. [W3] _, Gaussian maps on algebraic curves, J. Differential Geom. 3 (1990) 77-98.
19. [W4] _, Gaussian maps and tensor products of irreducible representations, Manuscripta Math. 73 (1991) 229-260.
20. [W5] _, Hyperplane sections of Calabi- Yau varieties, to appear.