15 citations · 16 across the 4 of their papers we have counts for
6 papers
Quotients of E^n by A_{n+1} and Calabi-Yau manifolds
Kapil Paranjape, Dinakar Ramakrishnan
We give a simple construction, starting with any elliptic curve E, of an n-dimensional Calabi-Yau variety of Kummer type (for any n>1), by considering the quotient Y of the n-fold…
A cuspidality criterion for the functorial product on GL(2) x GL(3), with a cohomological application
Dinakar Ramakrishnan, Song Wang
This paper was motivated by a question of Avner Ash, asking if it is possible to construct non-selfdual, non-monomial, cuspidal cohomology classes for suitable congruence subgroups…
Algebraic cycles on Hilbert modular fourfolds and poles of L-functions
Dinakar Ramakrishnan
In this paper we give some evidence for the Tate (and Hodge) conjecture(s) for a class of Hilbert modular fourfolds X, whose connected components arise as arithmetic quotients of t…
Existence of Ramanujan primes for GL(3)
Dinakar Ramakrishnan
In this Note we show that given any cusp form πon GL(3) over the rationals, there exist an infinite number of primes p which are Ramanujan for π, i.e., that the local components π_…
On the exceptional zeros of Rankin-Selberg L-functions
Dinakar Ramakrishnan, Song Wang
The main objects of study in this article are two classes of Rankin-Selberg L-unctions, namely L(s, f \times g) and L(s, sym^2(g) \times sym^2(g)), where f, g are newforms, holomor…
Modularity of solvable Artin representations of GO(4)-type
Dinakar Ramakrishnan
This is an updated version of ANT-0253. Let F be a number field with absolute Galois group G. We associate, to each continuous, solvable C-representation of G of GO(4)-type, an aut…