Higher syzygies of ruled varieties over a curve

Journal of Algebra

Volumn 296, Issue 1, 2006, Pages 267-284

  Park, Euisung ^a  

^a Korea Institute for Advanced Study   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 30344480477     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jalgebra.2005.08.015     Document Type: Article

References (15)

1. D.C. Butler Normal generation of vector bundles over a curve J. Differential Geom. 39 1994 1-34
2. D. Eisenbud M. Green K. Hulek S. Popescu Restriction linear syzygies: Algebra and geometry math.AG/0404516
3. L. Ein R. Lazarsfeld Syzygies and Koszul cohomology of smooth projective varieties of arbitrary dimension Invent. Math. 111 1993 51-67
4. M. Green Koszul cohomology and the geometry of projective varieties I J. Differential Geom. 19 1984 125-171
5. M. Green R. Lazarsfeld On the projective normality of complete linear series on an algebraic curve Invent. Math. 83 1986 73-90
6. M. Green R. Lazarsfeld Some results on the syzygies of finite sets and algebraic curves Compositio Math. 67 1988 301-314
7. F.J. Gallego B.P. Purnaprajna Higher syzygies of elliptic ruled surfaces J. Algebra 186 1996 626-659
8. F.J. Gallego B.P. Purnaprajna Projective normality and syzygies of algebraic surfaces J. Reine Angew. Math. 506 1999 145-180
9. F.J. Gallego B.P. Purnaprajna Some results on rational surfaces and Fano varieties J. Reine Angew. Math. 538 2001 25-55
10. R. Hartshorne Algebraic Geometry Grad. Texts in Math. vol. 52 1977 Springer New York
11. G. Ottaviani R. Paoletti Syzygies of Veronese embeddings Compositio Math. 125 2001 31-37
12. E. Park, On higher syzygies of ruled surfaces, Trans. Amer. Math. Soc., in press
13. E. Park, On higher syzygies of ruled surfaces II, J. Algebra, in press
14. E. Rubei On syzygies of Segre embeddings Proc. Amer. Math. Soc. 130 12 2002 3483-3493
15. E. Rubei A result on resolutions of Veronese embeddings math.AG/0309102