3 citations · 9 across the 5 of their papers we have counts for
5 papers
Derived equivalences of Abelian varieties and symplectic isomorphisms
Ana Cristina López Martín, Carlos Tejero Prieto
We study derived equivalences of Abelian varieties in terms of their associated symplectic data. For simple Abelian varieties over an algebraically closed field of characteristic z…
Derived equivalences and Kodaira fibers
Ana Cristina López Martín, Carlos Tejero Prieto
We give necessary conditions for two (including non-reduced and multiple) Kodaira curves to be derived equivalent. We classify Fourier-Mukai partners of any reduced Kodaira curve.…
Fourier-Mukai partners of singular genus one curves
Ana Cristina López Martín
The objective of the paper is to prove that, as it happens for smooth elliptic curves, any Fourier-Mukai partner of a projective reduced Gorenstein curve of genus one and trivial d…
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…
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.