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math.AG2008★ 3 cited
Moduli Spaces of Semistable Sheaves on Singular Genus One Curves
Daniel Hernández Ruipérez, Ana Cristina López Martín, Darío Sánchez Gómez +1
We find some equivalences of the derived category of coherent sheaves on a Gorenstein genus one curve that preserve the (semi)-stability of pure dimensional sheaves. Using them we…
math.AG2008
A Characterization of Jacobians by the Existence of Picard Bundles
Ana Cristina López Martín, Ernesto Carlo Mistretta, Darío Sánchez Gómez
Based on the Matsusaka-Ran criterion we give a criterion to characterize when a principal polarized abelian variety is a Jacobian by the existence of Picard bundles.