Dipendra Prasad

activity

19982004

most citedReduction of homomorphisms mod p and algebraicity

1 citations · 1 across the 2 of their papers we have counts for

collaborators

Showing 2002Show all

4 papers · 1 filter

math.NT2002★ 1 cited

Reduction of homomorphisms mod p and algebraicity

Chandrashekhar Khare, Dipendra Prasad

{Let $K$ be a number field, and $A_{1}, A_{2}$ abelian varieties over $K$ . Let $P$ (resp. $Q$ ) be a non-torsion point in $A_{1} (K)$ (resp. $A_{2} (K)$ ) such that for almost all places $v$ o…

math.NT2002

An analogue of a conjecture of Mazur a question in Diophantine approximation on tori

Dipendra Prasad

B. Mazur has considered the question of density in the Euclidean topology of the set of $Q$ -rational points on a variety $X$ defined over $Q$ , in particular for Abeli…

math.NT2002

On an Archimedean analogue of Tate's conjecture

Dipendra Prasad, C. S. Rajan

We consider an Archimedean analogue of Tate's conjecture, and verify the conjecture in the examples of isospectral Riemann surfaces constructed by Vigneras and Sunada. We also enun…

math.NT2002

Reduction of abstract homomorphisms of lattices mod p and rigidity

Chandrashekhar Khare, Dipendra Prasad

In this paper we pose and answer the following question in a few different contexts: Given a homomorphism f:L_1 --> L_2 of a ``lattices'' that ``reduces mod p'' for almost all prim…