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On syzygies of abelian varieties

Author(s): Elena Rubei
Journal: Trans. Amer. Math. Soc. 352 (2000), 2569-2579.
MSC (2000): Primary 14K05
Posted: March 7, 2000
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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.

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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: 10.1090/S0002-9947-00-02398-9
PII: S 0002-9947(00)02398-9
Keywords: Abelian varieties, syzygies
Received by editor(s): November 30, 1997
Received by editor(s) in revised form: March 29, 1998
Posted: 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".
Copyright of article: Copyright 2000, American Mathematical Society

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