44 citations · 98 across the 7 of their papers we have counts for
9 papers · 1 filter
On two theorems for flat, affine group schemes over a discrete valuation ring
Adrian Vasiu
We include short and elementary proofs of two theorems characterizing reductive group schemes over a discrete valuation ring, in a slightly more general context.
Good Reductions of Shimura Varieties of Preabelian Type in Arbitrary Unramified Mixed Characteristic, I
Adrian Vasiu
We prove the existence of weak integral canonical models of Shimura varieties of Hodge type in arbitrary unramified mixed characteristic . As a first application we solve a…
Integral Canonical Models of Shimura Varieties of Preabelian Type
Adrian vasiu
We prove the existence of integral canonical models of Shimura varieties of preabelian type with respect to primes of characteristic at least 5.
Surjectivity Criteria for p-adic Representations, Part II
Adrian Vasiu
We prove surjectivity criteria for -adic representations and we apply them to abelian varieties over number fields. In particular, we provide examples of Jacobians over $\dbQ$ o…
Surjectivity Criteria for p-adic Representations, Part I
Adrian Vasiu
We prove several surjectivity criteria for -adic representations. In particular, we classify all adjoint and simply connected group schemes over the Witt ring of a fi…
A purity theorem for abelian schemes
Adrian Vasiu
We prove a purity theorem for abelian schemes in arbitrary unramified mixed characteristic (0,p). The case p=2 is completely new and the case p>2 fixes several errors in the litera…