Searcharxiv⌕ Search

arXiv subjects

Andrei Yafaev

Publications and source records attributed to Andrei Yafaev.

20 records · Page 2Linked to original sources
arXiv2004

Subvarieties of Shimura varieties

A conjecture by Yves Andre and Frans Oort says that closed subvarieties of Shimura varieties that contain a Zariski dense subset of special points are subvarieties of Hodge type. We prove this in the case where the subvariety is a curve that contains infinitely many special points that lie in one Hecke orbit. Via work of Juergen Wolfart, Paula Cohen and Gisbert Wuestholz, this result has an application to algebraicity of values of hypergeometric functions.

math.AG↗
arXiv2003

A conjecture of Yves Andre

In this paper we prove, assuming the Generalised Riemann Hypothesis, a conjecture of Yves Andre that that asserts that a curve in a Shimura variety containing an infinite set of special points is of Hodge type.

math.NT↗