Higher syzygies of elliptic ruled surfaces

Journal of Algebra

Volumn 186, Issue 2, 1996, Pages 626-659

  Gallego, Francisco Javier ^a   Purnaprajna, B P ^b,c  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^b BRANDEIS UNIVERSITY   (United States)

^c OKLAHOMA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030529053     PISSN: 00218693     EISSN: None     Source Type: Journal    
DOI: 10.1006/jabr.1996.0389     Document Type: Article

References (13)

1. [B] E. Bombieri, Canonical models of surfaces of general type, Inst. Hautes Etudes Sci. 42 (1973).
2. [Bu] D. Butler, Normal generation of vector bundles over a curve, J. Differential Geometry 39 (1994), 1-34.
3. [G] M. Green, Koszul cohomology and the geometry of projective varieties, J. Differential Geometry 19 (1984), 125-171.
4. [GL] M. Green and R. Lazarsfeld, Some results on the syzygies of finite sets and algebraic curves, Compositio Math. 67 (1989), 301-314.
5. [GP] F. J. Gallego and B. P. Purnaprajna, Normal presentation on elliptic ruled surfaces, J. Algebra, to appear.
6. [GP1] F. J. Gallego and B. P. Purnaprajna, Vanishing theorems and syzygies for K3 surfaces and Fano varieties, preprint, 1995.
7. [GP2] F. J. Gallego and B. P. Purnaprajna, Syzygies of surfaces and Calabi-Yau threefolds, preprint 1996.
8. [H] R. Hartshorne, "Algebraic Geometry," Springer-Verlag, Berlin, 1977.
9. [Ho1] Y. Homma, Projective normality and the defining equations of ample invertible sheaves on elliptic ruled surfaces with e ≥ 0, Natural Sci. Rep. Ochanomizu Univ. 31 (1980), 61-73.
10. [Ho2] Y. Homma, Projective normality and the defining equations of an elliptic ruled surface with negative invariant, Natural Sci. Rep. Ochanomizu Univ. 33 (1982), 17-26.
11. [L] R. Lazarsfeld, "A Sampling of Vector Bundles Techniques in the Study of Linear Series," Lectures on Riemann Surfaces, pp. 500-559, World Scientific, Singapore, 1989.
12. [Mi] Y. Miyaoka, The Chern class and Kodaira dimension of a minimal variety, in "Proc., Algebraic Geometry Conference, Sendai, 1985," Advanced Studies in Pure Math., Vol. 10, pp. 449-476, North-Holland, Amsterdam, 1985.
13. [R] I. Reider, Vector bundles of rank 2 and linear system on an algebraic surface, Ann. of Math. (2) 127 (1988), 309-316.