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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Convex separably rationally connected complete intersections
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by Katsuhisa Furukawa PDF
Proc. Amer. Math. Soc. 144 (2016), 3657-3669 Request permission

Abstract:

We give a generalization of a result of R. Pandharipande to arbitrary characteristic: We prove that, if $X$ is a convex, separably rationally connected, smooth complete intersection in $\mathbb {P}^N$ over an algebraically closed field of arbitrary characteristic, then $X$ is rational homogeneous.
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Additional Information
  • Katsuhisa Furukawa
  • Affiliation: Department of Mathematics, National Taiwan University, No. 1, Sec. 4, Roosevelt Road, Taipei 106, Taiwan
  • Address at time of publication: Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
  • MR Author ID: 901898
  • Email: katu@tims.ntu.edu.tw
  • Received by editor(s): July 24, 2014
  • Received by editor(s) in revised form: October 12, 2015
  • Published electronically: May 6, 2016
  • Additional Notes: The author was partially supported by JSPS KAKENHI Grant Number 25800030
  • Communicated by: Lev Borisov
  • © Copyright 2016 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 3657-3669
  • MSC (2010): Primary 14E08, 14J45, 14M17
  • DOI: https://doi.org/10.1090/proc/13159
  • MathSciNet review: 3513529