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The basepoint-freeness threshold of a very general abelian surface
Andrés Rojas
For abelian surfaces of Picard rank 1, we perform explicit computations of the cohomological rank functions of the ideal sheaf of one point, and in particular of the basepoint-free…
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 …
The divisors of Prym semicanonical pencils
Carlos Maestro Pérez, Andrés Rojas
In the moduli space of double étale covers of curves of a fixed genus , the locus of covers of curves with a semicanonical pencil decomposes as the union of two…