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math.NT2001
Shimura Varieties and the Mumford-Tate conjecture, part I
Adrian Vasiu
We prove the Mumford-Tate conjecture for those abelian varieties over number fields, whose simple factors of their adjoint Mumford-Tate groups have over $\dbR$ certain (products of…
math.NT2001
Points of integral canonical models of Shimura varieties of preabelian type, p-divisible groups, and applications. First Part
Adrian Vasiu
This work is the first part in a series of three dedicated to the foundations of integral aspects of Shimura varieties and of Fontaine's categories. It deals mostly with the unrami…