12 citations · 24 across the 4 of their papers we have counts for
4 papers
Fourier-Mukai and Nahm transforms for holomorphic triples on elliptic curves
Oscar García-Prada, Daniel Hernández Ruipérez, Fabio Pioli +1
We define a Fourier-Mukai transform for a triple consisting of two holomorphic vector bundles over an elliptic curve and a homomorphism between them. We prove that in some cases th…
A Fourier transform for sheaves on Lagrangian families of real tori
U. Bruzzo, G. Marelli, F. Pioli
We systematically develop a transform of the Fourier-Mukai type for sheaves on symplectic manifolds of any dimension fibred in Lagrangian tori. One obtains a bijective correspo…
Complex Lagrangian embeddings of moduli spaces of vector bundles
U. Bruzzo, F. Pioli
By means of a Fourier-Mukai transform we embed moduli spaces of stable bundles on an algebraic curve C as isotropic subvarieties of moduli spaces of mu-stable bundles on the Jacobi…
On Picard bundles over Prym varieties
L. Brambila Paz, E. Gomez Gonzalez, F. Pioli
We study the birationality (onto its image) of the Abel-Prym morphism associated with a Prym-Tuyrin variety. We use such result to prove that Picard bundles over Prym varieties are…