Nelson Alvarado

collaborators

4 papers

math.AG2026

Seshadri constants and hyperelliptic curves on abelian varieties

Nelson Alvarado

Given a principally polarized abelian variety, we give a sufficient condition for the van Geemen-van der Geer locus $I^_{00}$ to be positive dimensional. Along the way, we prove a…

math.AG2026

Abelian varieties analogs of two results about algebraic curves

Nelson Alvarado, Giuseppe Pareschi

We characterize decomposable principally polarized abelian varieties of the form $E \times B$ , with $E$ an elliptic curve, in two different ways, which are, surprisingly, completely…

math.AG2025

Semihomogenous vector bundles, $Q$ -twisted sheaves, duality, and linear systems on abelian varieties

Nelson Alvarado, Giuseppe Pareschi

In this paper we point out the natural relation between $Q$ -twisted objects of the derived category of abelian varieties, cohomological rank functions, and semihomogeneous…

math.AG2025

Jets-separation thresholds, Seshadri constants and higher Gauss-Wahl maps on abelian varieties

Nelson Alvarado

Given a closed subscheme $Z$ of a polarized abelian variety $(A, ℓ)$ we define its vanishing threshold with respect to $ℓ$ and relate it to the Seshadri constant of the ideal…

Seshadri constants and hyperelliptic curves on abelian varieties

Abelian varieties analogs of two results about algebraic curves

Semihomogenous vector bundles, Q-twisted sheaves, duality, and linear systems on abelian varieties

Jets-separation thresholds, Seshadri constants and higher Gauss-Wahl maps on abelian varieties

Semihomogenous vector bundles, $Q$ -twisted sheaves, duality, and linear systems on abelian varieties