11 citations · 13 across the 3 of their papers we have counts for
12 papers
Abelian Varieties with Quaternion Multiplication
Ron Donagi, Ron Livné
In this article we use a Prym construction to study low dimensional abelian varieties with an action of the quaternion group. In special cases we describe the Shimura variety param…
Geometric Transitions and Mixed Hodge Structures
Duiliu-Emanuel Diaconescu, Ron Donagi, Tony Pantev
We formulate and prove a B-model disc level large N duality result for general conifold transitions between compact Calabi-Yau spaces using degenerations of Hodge structures.
Torus fibrations, gerbes, and duality
Ron Donagi, Tony Pantev
Let X be a smooth elliptic fibration over a smooth base B. Under mild assumptions, we establish a Fourier-Mukai equivalence between the derived categories of two objects, each of w…
Abelian solitons
Ron Y. Donagi, Emma Previato
We describe a new algebraically completely integrable system, whose integral manifolds are co-elliptic subvarieties of Jacobian varieties. This is a multi-periodic extension of the…
Spectral involutions on rational elliptic surfaces
Ron Donagi, Burt Ovrut, Tony Pantev +1
In this paper we describe a four dimensional family of special rational elliptic surfaces admitting an involution with isolated fixed points. For each surface in this family we cal…
The gerbe of Higgs bundles
R. Donagi, D. Gaitsgory
The purpose of this work is to describe the (category of) Higgs bundles on a complex scheme X having a given cameral cover X~. We show that this category is a T_{X~}-gerbe, where T…