Convex separably rationally connected complete intersections
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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.References
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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