109 citations
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math.AG2004★ 10 cited
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…
math.AG2002
Coherent systems and Brill-Noether theory
Steven Bradlow, Oscar Garcia-Prada, Vicente Muñoz +1
Let be a curve of genus . A coherent system on consists of a pair where is an algebraic vector bundle of rank and degree and is a subspace…