A Grunwald–Wang type theorem for abelian varieties

A Structure Theorem for Strongly Abelian Varieties with Few Models

A Birkhoff Type Theorem for Strong Varieties

Algebraic systems with partial operations have different ways to interpret equality between two terms of the language. A strong identity is a formula which says that two terms are equal in the algebra if the existence of one of them implies the existence of the other one and in the case of existence their values are equal. A class of partial algebras defined by a set of strong identities is cal...

Tate’s Isogeny Theorem for Abelian Varieties over Finite Fields

Abelian Varieties of Weil Type and Kuga-satake Varieties

We analyze the relationship between abelian fourfolds of Weil type and Hodge structures of type K3, and we extend some of these correspondences to the case of arbitrary dimension.

A Freiman-type theorem for locally compact abelian groups

— Suppose that G is a locally compact abelian group with a Haar measure μ. The δ-ball Bδ of a continuous translation invariant pseudo-metric is called d-dimensional if μ(B2δ′ ) 6 2μ(Bδ′ ) for all δ′ ⊂ (0, δ]. We show that if A is a compact symmetric neighborhood of the identity with μ(nA) 6 ndμ(A) for all n > d log d, then A is contained in an O(d log d)-dimensional ball, B, of positive radius ...