Rationality of rationally connected threefolds admitting non-isomorphic endomorphisms - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: We prove a structure theorem for non-isomorphic endomorphisms of weak Q-Fanothreefolds, or more generally for threefolds with big anti-canonical divisor.Also provided is a criterion for a fibred rationally connected threefold to berational. As a consequence, we show without using the classification thatevery smooth Fano threefold having a non-isomorphic surjective endomorphism isrational.



Author: De-Qi Zhang

Source: https://arxiv.org/







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