60 citations · 162 across the 17 of their papers we have counts for
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Pseudoreflections on Prym Varieties
Robert Auffarth, Martí Lahoz, Juan Carlos Naranjo
We show that for every g greater or equal than 5, the locus of Prym varieties in the moduli space of principally polarized abelian varieties of dimension g-1 that possess a pseudor…
Monodromy of the Prym map and semicanonical pencils in genus 6
Martí Lahoz, Juan Carlos Naranjo, Andrés Rojas +1
The Prym map in genus 6 is dominant and generically finite of degree 27. When restricted to the divisor of curves with an odd semicanonical pencil …
Geometry of Prym semicanonical pencils and an application to cubic threefolds
Martí Lahoz, Juan Carlos Naranjo, Andrés Rojas
In the moduli space of double étale covers of curves of a fixed genus , the locus formed by covers of curves with a semicanonical pencil consists of two irreduci…
Chern degree functions
Martí Lahoz, Andrés Rojas
We introduce Chern degree functions for complexes of coherent sheaves on a polarized surface, which encode information given by stability conditions on the boundary of the …
Stability of syzygy bundles on abelian varieties
Federico Caucci, Martí Lahoz
We prove that the kernel of the evaluation morphism of global sections - namely the syzygy bundle - of a sufficiently ample line bundle on an abelian variety is stable. This settle…
Stability conditions in families
Arend Bayer, Martí Lahoz, Emanuele Macrì +3
We develop a theory of Bridgeland stability conditions and moduli spaces of semistable objects for a family of varieties. Our approach is based on and generalizes previous work by…