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Convex separably rationally connected complete intersections


Author: Katsuhisa Furukawa
Journal: Proc. Amer. Math. Soc. 144 (2016), 3657-3669
MSC (2010): Primary 14E08, 14J45, 14M17
DOI: https://doi.org/10.1090/proc/13159
Published electronically: May 6, 2016
MathSciNet review: 3513529
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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
Email: katu@tims.ntu.edu.tw

DOI: https://doi.org/10.1090/proc/13159
Keywords: Convex, nef bundle, rational homogeneous space
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
Article copyright: © Copyright 2016 American Mathematical Society