Seshadri constants on algebraic surfaces

Mathematische Annalen

Volumn 313, Issue 3, 1999, Pages 547-583

  Bauer, Thomas ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033442795     PISSN: 00255831     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002080050272     Document Type: Article

References (26)

1. Bauer, Th.: Seshadri constants of quartic surfaces. Math. Ann. 309, 475-481 (1997)
2. Bauer, Th.: On the cone of curves of an abelian variety. Amer. J. Math. 120, 997-1006 (1998)
3. Bauer, Th.: Seshadri constants and periods of polarized abelian varieties. Math. Ann. (to appear)
4. Bauer, Th., Szemberg, T.: Appendix to: 'Seshadri constants and periods of polarized abelian varieties.' Math. Ann. (to appear)
5. Beltrametti, M.C., Sommese, A.J.: On k-jet ampleness. Complex analysis and geometry (Ancona, Vincenzo, eds.), New York, Plenum Press, 1993, pp. 355-376
6. Birkenhake, Ch.: Tensor products of ample line bundles on abelian varieties. Manuscripta Math. 84, 21-28 (1994)
7. Birkenhake, Ch., Lange, H.: Symmetric theta-structures. Manuscripta Math. 70, 67-91 (1990)
8. Buser, P., Sarnak, P.: On the period matrix of a Riemann surface of large genus (with an appendix by J.H. Conway and N.J.A. Sloane). Invent. math. 117, 27-56 (1994)
9. Campana, F., Peternell, Th.: Algebraicity of the ample cone of projective varieties. J. reine angew. Math. 407, 160-166 (1990)
10. Caporaso, L., Harris, J., Mazur, B.: How many rational points can a curve have? In: The Moduli Space of Curves (R. Dijkgraaf, C. Faber, G. van der Geer, eds.), Progress in Math. 129, Birkhäuser Verlag, 1995, pp. 13-31
11. Clemens, H., Kollár, J., Mori, S.: Higher-dimensional complex geometry. Astérisque No. 166 (1988), 144 pp. (1989)
12. Demailly, J.-P.: Singular Hermitian metrics on positive line bundles. Complex algebraic varieties (Bayreuth, 1990), Lect. Notes Math. 1507, Springer-Verlag, 1992, pp. 87-104
13. Ein, L., Küchle, O., Lazarsfeld, R.: Local positivity of ample line bundles. J. Differential Geom. 42, 193-219 (1995)
14. Ein, L., Lazarsfeld, R.: Seshadri constants on smooth surfaces. Journées de Géometrie Algébrique d'Orsay, Astérisque 218, 1993, pp. 177-186
15. Fujita, T.: Semipositive line bundles. J. Fac. Sci. Univ. Tokyo Sect. IA Math. 30, 353-378 (1983)
16. Hua Loo-Keng: Introduction to number theory. Springer-Verlag, 1982
17. Kovács, S.J.: The cone of curves of a K3 surface. Math. Ann. 300, 681-691 (1994)
18. Küchle, O.: Multiple point Seshadri constants and the dimension of adjoint linear series. Ann. Inst. Fourier 46, 63-71 (1996)
19. Küchle, O., Steffens, A.: Bounds for Seshadri Constants. Preprint alg-geom/9601018
20. Lange, H., Birkenhake, Ch.: Complex abelian varieties. Grundl. Math. Wiss. 302, Springer-Verlag, 1992
21. Lazarsfeld, R.: Lectures on linear series. Park City/IAS Mathematics series vol. 3, 1-56 (1993)
22. Lazarsfeld, R.: Lengths of periods and Seshadri constants of abelian varieties. Math. Res. Letters 3, 439-447 (1997)
23. McDuff, D., Polterovich, L.: Symplectic packings and algebraic geometry. Invent. Math. 97, 405-429 (1994)
24. Miyaoka, Y.: The maximal number of quotient singularities on surfaces with given numerical invariants. Math. Ann. 268, 159-171 (1984)
25. Mori, S.: Threefolds whose canonical bundles are not nef. Ann. Math. 116, 133-176 (1982)
26. Mumford, D.: Abelian varieties. Oxford Univ. Press, 1974