Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On syzygies of abelian varieties


Author: Elena Rubei
Journal: Trans. Amer. Math. Soc. 352 (2000), 2569-2579
MSC (2000): Primary 14K05
DOI: https://doi.org/10.1090/S0002-9947-00-02398-9
Published electronically: March 7, 2000
MathSciNet review: 1624206
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract:

In this paper we prove the following result: Let $X$ be a complex torus and $M$ a normally generated line bundle on $X$; then, for every $p \geq 0$, the line bundle $M^{p+1}$ satisfies Property $ N_{p}$ of Green-Lazarsfeld.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 14K05

Retrieve articles in all journals with MSC (2000): 14K05


Additional Information

Elena Rubei
Affiliation: Dipartimento di Matematica, Università di Pisa, via F. Buonarroti 2, Pisa (PI) c.a.p. 56127, Italia
Email: rubei@mail.dm.unipi.it

DOI: https://doi.org/10.1090/S0002-9947-00-02398-9
Keywords: Abelian varieties, syzygies
Received by editor(s): November 30, 1997
Received by editor(s) in revised form: March 29, 1998
Published electronically: March 7, 2000
Additional Notes: This research was carried through in the realm of the AGE Project HCMERBCHRXCT940557 and of the ex-40 MURST Program “Geometria algebrica".
Article copyright: © Copyright 2000 American Mathematical Society