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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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Log Fano structures and Cox rings of blow-ups of products of projective spaces
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by John Lesieutre and Jinhyung Park PDF
Proc. Amer. Math. Soc. 145 (2017), 4201-4209 Request permission

Abstract:

The aim of this paper is twofold. First, we determine which blow-ups of products of projective spaces at general points are varieties of Fano type, and give boundary divisors making these spaces log Fano pairs. Second, we describe generators of the Cox rings of some cases.
References
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Additional Information
  • John Lesieutre
  • Affiliation: Department of Mathematics, University of Illinois at Chicago, 851 South Morgan Street, Chicago, Illinois 60607
  • Email: jdl@uic.edu
  • Jinhyung Park
  • Affiliation: School of Mathematics, Korea Institute for Advanced Study, 85 Hoegiro, Dongdaemungu, Seoul 02455, Republic of Korea
  • Email: parkjh13@kias.re.kr
  • Received by editor(s): May 4, 2016
  • Received by editor(s) in revised form: November 3, 2016
  • Published electronically: April 7, 2017
  • Communicated by: Lev Borisov
  • © Copyright 2017 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 145 (2017), 4201-4209
  • MSC (2010): Primary 14J45; Secondary 14E30, 14C20
  • DOI: https://doi.org/10.1090/proc/13610
  • MathSciNet review: 3690606