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 >= 0, the line bundle M^{p+1} satisfies Property N_p of Green-Lazarsfeld.
On syzygies of abelian varieties / E. Rubei. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - STAMPA. - 352:(2000), pp. 2569-2579. [10.1090/S 0002-9947(00)02398-9]
On syzygies of abelian varieties
RUBEI, ELENA
2000
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 >= 0, the line bundle M^{p+1} satisfies Property N_p of Green-Lazarsfeld.
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