NDLI: Remarks on endomorphisms and rational points

Content Provider	Scilit
Author	Amerik, E. Bogomolov, F. Rovinsky, M.
Copyright Year	2011
Description	Journal: Compositio Mathematica Let X be an algebraic variety and let f:X−−→X be a rational self-map with a fixed point q, where everything is defined over a number field K. We make some general remarks concerning the possibility of using the behaviour of f near q to produce many rational points on X. As an application, we give a simplified proof of the potential density of rational points on the variety of lines of a cubic fourfold, originally proved by Claire Voisin and the first author in 2007.
Ending Page	1842
Starting Page	1819
ISSN	00221295
e-ISSN	15705846
DOI	10.1112/s0010437x11005537
Journal	Compositio Mathematica
Issue Number	6
Volume Number	147
Language	English
Publisher	Wiley-Blackwell
Publisher Date	2011-11-01
Access Restriction	Open
Subject Keyword	Journal: Compositio Mathematica
Content Type	Text
Resource Type	Article
Subject	Algebra and Number Theory

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Remarks on endomorphisms and rational points