On a generalization of Tate dualities with application to Iwasawa theory
On a theorem of Coleman.
On Abelian Varieties with Many Endomorphisms and a Conjecture of Shimura's.
On analytic models of degenerating abelian varieties
On arithmetic in Mordell-Weil groups
On Grothendieck's pairing of component groups in the semistable reduction case.
On limit multiplicities of discrete series representations in spaces of automorphic forms.
On monomial relations between p-adic periods.
On -adic uniformization
On quasi-periods of abelian functions with complex multiplication
On supersingular curves and Abelian varieties.
On the conjecture of Birch and Swinnerton-Dyer for abelian varieties over function fields in characteristic p > 0.
On the critical values of Hecke L-series
On the existence of abelian varieties with good reduction.
On the field of definition of superspecial polarized abelian varieties and type numbers
On the Geometry of a Siegel Modular Threefold.
On the p-rank of an abelian variety and its endomorphism algebra.
Let A be an abelian variety defined over a finite field. In this paper, we discuss the relationship between the p-rank of A, r(A), and its endomorphism algebra, End0(A). As is well known, End0(A) determines r(A) when A is an elliptic curve. We show that, under some conditions, the value of r(A) and the structure of End0(A) are related. For example, if the center of End0(A) is an abelian extension of Q, then A is ordinary if and only if End0(A) is a commutative field. Nevertheless, we give an example...
On the problem of detecting linear dependence for products of abelian varieties and tori
On the Rational Points of Abelian Varieties over Zp Extensions of Number Fields.
On the reduction of abelian varieties