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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The ring of global sections of multiples of a line bundle on a toric variety
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by E. Javier Elizondo PDF
Proc. Amer. Math. Soc. 125 (1997), 2527-2529 Request permission

Abstract:

In this article we prove that for any complete toric variety, and for any Cartier divisor, the ring of global sections of multiples of the line bundle associated to the divisor is finitely generated.
References
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Additional Information
  • E. Javier Elizondo
  • Affiliation: Instituto de Matemáticas, UNAM, Ciudad Universitaria, México D.F. 04510
  • Email: javier@math.unam.mx
  • Received by editor(s): March 14, 1996
  • Additional Notes: Supported in part by grant CONACYT 3936-E, and DGAPA IN101296
  • Communicated by: Ron Donagi
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 2527-2529
  • MSC (1991): Primary 14C20, 14M25
  • DOI: https://doi.org/10.1090/S0002-9939-97-03918-X
  • MathSciNet review: 1401739