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СЕМИНАРЫ |
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The geometric Bombieri-Lang conjecture for varieties of maximal Albanese dimension Junyi Xie Beijing International Center for Mathematical Research, Peking University |
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Аннотация: This is a joint work with Xinyi Yuan. Let K=k(B) the function field a variety B over a field k of characteristic 0. Let X be a projective variety over K. Assume that there is a finite morphism from X to an abelian variety A with trivial trace. We show that X(K) is contained in the algebraic special subset. In particular, if further X is of general type, then X(K) is not Zariski dense. Язык доклада: английский |