11 citations · 13 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
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…
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…
G-bundles on Abelian surfaces, hyperkahler manifolds, and stringy Hodge numbers
Jim Bryan, Ron Donagi, Naichung Conan Leung
We study the moduli space M(G,A) of flat G-bundles on an Abelian surface A, where G is a compact, simple, simply connected, connected Lie group. Equivalently, M(G,A) is the (coarse…