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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

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

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48 .

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On syzygies of abelian varieties
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by Elena Rubei PDF
Trans. Amer. Math. Soc. 352 (2000), 2569-2579 Request permission


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:
  • 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".
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 2569-2579
  • MSC (2000): Primary 14K05
  • DOI:
  • MathSciNet review: 1624206