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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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On classification of polarized varieties with non-integral nef values
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by Yicai Zhao PDF
Proc. Amer. Math. Soc. 129 (2001), 1907-1913 Request permission

Abstract:

Let $M$ be an $n$-dimensional normal projective variety with only Gorenstein, terminal, $\mathbb {Q}$-factorial singularities. Let $L$ be an ample line bundle on $M$. Let $\tau$ denote the nef value of $(M,L)$. The classification of $(M,L)$ via the nef value morphism is given for the situations when $\tau$ satisfies $n-3<\tau <n-2$ or $n-4<\tau <n-3$.
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Additional Information
  • Yicai Zhao
  • Affiliation: Department of Mathematics, Jinan University, Guangzhou 510632, People’s Republic of China
  • Received by editor(s): September 14, 1998
  • Received by editor(s) in revised form: November 1, 1999
  • Published electronically: December 4, 2000
  • Communicated by: Ron Donagi
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 129 (2001), 1907-1913
  • MSC (2000): Primary 14Jxx
  • DOI: https://doi.org/10.1090/S0002-9939-00-05827-5
  • MathSciNet review: 1825896