Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms
Algebraic Geometry
2018-09-24 v1
Abstract
We prove a structure theorem for non-isomorphic endomorphisms of weak Q-Fano threefolds, or more generally for threefolds with big anti-canonical divisor. Also provided is a criterion for a fibred rationally connected threefold to be rational. As a consequence, we show (without using the classification) that every smooth Fano threefold having a non-isomorphic surjective endomorphism is rational.
Keywords
Cite
@article{arxiv.1011.1705,
title = {Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:1011.1705},
year = {2018}
}
Comments
Transactions of the American Mathematical Society, to appear; 21 pages