56 citations · 148 across the 25 of their papers we have counts for
29 papers
Singularities of base loci on abelian varieties
Giuseppe Pareschi
We prove that the log canonical threshold of the base ideal of a complete linear system on a complex abelian variety is , and equality holds if and only if the base locus ha…
Abelian varieties analogs of two results about algebraic curves
Nelson Alvarado, Giuseppe Pareschi
We characterize decomposable principally polarized abelian varieties of the form , with an elliptic curve, in two different ways, which are, surprisingly, completely…
Semihomogenous vector bundles, -twisted sheaves, duality, and linear systems on abelian varieties
Nelson Alvarado, Giuseppe Pareschi
In this paper we point out the natural relation between -twisted objects of the derived category of abelian varieties, cohomological rank functions, and semihomogeneous…
Generation and ampleness of coherent sheaves on abelian varieties, with application to Brill-Noether theory
Giuseppe Pareschi
We introduce a variant of global generation for coherent sheaves on abelian varieties which, under certain circumstances, implies ampleness. This extends a criterion of Debarre ass…
Derived invariance of the Albanese relative canonical ring
Federico Caucci, Luigi Lombardi, Giuseppe Pareschi
We show the derived invariance of various geometric invariants of smooth complex projective varieties governed by the Albanese map, including the relative canonical ring and the cl…
Characterizing Jacobians via the KP equation and via flexes and degenerate trisecants to the Kummer variety: an algebro-geometric approach
Enrico Arbarello, Giulio Codogni, Giuseppe Pareschi
This paper is withdrawn since we found a flaw in the proof of Theorem 4, asserting that the base locus of the complete linear system of an ample line bundle on a complex abelian va…