activity
19972026
most citedGenera of Brill-Noether curves and staircase paths in Young tableaux

21 citations · 62 across the 24 of their papers we have counts for

collaborators

27 papers

math.AG2026

Divisors and harmonic morphisms on metric graphs of pseudocompact type

Benjamin Mascuch, Montserrat Teixidor i Bigas

A metric graph is of pseudocompact type if identifying parallel edges produces a tree. We give a constructive proof that, for such graphs, divisorial -gonality is equivalent to…

math.AG2026

Higher order Petri Loci

Montserrat Teixidor I Bigas

Denote by the subset of the moduli space of curves of genus g consisting of those curves that have a linear series of degree d and dimension r for which…

math.AG2023

Brill-Noether loci

Montserrat Teixidor i Bigas

Brill-Noether loci are those subsets of the moduli space determined by the existence of a linear series of degree and dimension . By…

math.AG2022★ 1 cited

Successive extensions of vector bundles on curves

Montserrat Teixidor i Bigas

We show that on a generic curve, a bundle obtained by successive extensions is stable. We compute the dimension of the set of such extensions. We use degeneration methods specializ…

math.AG2021

Brill-Noether loci with ramification at two points

Montserrat Teixidor i Bigas

We prove the injectivity of the Petri map for linear series on a general curve with given ramification at two generic points. We also describe the components of such a set of linea…

math.AG2020

Coherent systems on the projective line

P. E. Newstead, Montserrat Teixidor i Bigas

It is well known that there are no stable bundles of rank greater than 1 on the projective line. In this paper, our main purpose is to study the existence problem for stable cohere…