Víctor González-Alonso

activity

20122018

most citedCounting Lines on Quartic Surfaces

9 citations · 23 across the 7 of their papers we have counts for

collaborators

9 papers

math.AG2018★ 9 cited

Families of curves with Higgs field of arbitrarily large kernel

Víctor González-Alonso, Sara Torelli

In this note we consider the flat bundle U and the kernel K of the Higgs field naturally associated to any (polarized) variation of Hodge structures of weight 1. We study how stric…

math.AG2017

On the rank of the flat unitary summand of the Hodge bundle

Vìctor González-Alonso, Lidia Stoppino, Sara Torelli

Let $f : S \to B$ be a non-isotrivial fibred surface. We prove that the genus $g$ , the rank $u_{f}$ of the unitary summand of the Hodge bundle $f_{*} ω_{f}$ and the Clifford index $c_f…

math.AG2017

Containment problems for fat point schemes via asymptotic multiplier ideals

Víctor González-Alonso, Piotr Pokora

We study a multiplier-ideal approach to the containment problem for radical ideals of points in projective space. The expected asymptotic multiplier-ideal computation depends on co…

math.AG2015★ 9 cited

Counting Lines on Quartic Surfaces

Víctor González-Alonso, Sławomir Rams

We prove the sharp bound of at most 64 lines on complex projective quartic surfaces (resp. affine quartics) that are not ruled by lines. We study configurations of lines on certain…

math.AG2015

Cox rings of du Val singularities

Laura Facchini, Víctor González-Alonso, Michał Lasoń

In this note we introduce Cox rings of singularities and explicitly compute them in the case of du Val singularities $D_{n}, E_{6}, E_{7}$ and $E_{8}$ .

math.AG2014★ 5 cited

Xiao's conjecture for general fibred surfaces

Miguel Ángel Barja, Víctor González-Alonso, Juan Carlos Naranjo

We prove that the genus $g$ , the relative irregularity $q_{f}$ and the Clifford index $c_{f}$ of a non-isotrivial fibration $f$ satisfy the inequality $q_{f} \leq g - c_{f}$ . This gives in…

math.AG2013

Grassmannian BGG Complexes and Hodge numbers of irregular varieties

Víctor González-Alonso

In this paper we investigate the exactness of the Grassmannian BGG complexes introduced in a previous work (arXiv:1211.2486), and obtain some inequalities between some Hodge number…

math.AG2012

A generalization of the Castelnuovo-de Franchis inequality

Víctor González-Alonso

We give a lower bound on the Hodge number h^{2,0}(X), where X is an irregular compact Kähler (or smooth complex projective) variety, in terms of the minimal rank of an element in t…

math.AG2012

Determining plane curve singularities from its polars

Maria Alberich-Carramiñana, Víctor González-Alonso

This paper addresses a very classical topic that goes back at least to Plücker: how to understand a plane curve singularity using its polar curves. Here, we explicitly construct th…