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math.AG2022
On a conjecture about Higgs bundles for rank 2 and some inequalities
Ugo Bruzzo, Beatriz Graña Otero, Daniel Hernández Ruipérez
We briefly review an open conjecture about Higgs bundles that are semistable with after pulling back to any curve, and prove it in the rank 2 case. We also prove a set of inequalit…
math.AG2006★ 6 cited
Fourier-Mukai transforms for coherent systems on elliptic curves
Daniel Hernández Ruipérez, Carlos Tejero Prieto
We determine all the Fourier-Mukai transforms for coherent systems consisting of a vector bundle over an elliptic curve and a subspace of its global sections, showing that these tr…