L. Brambila-Paz

activity

19952026

most citedGeography of Brill-Noether loci for small slopes

78 citations · 129 across the 23 of their papers we have counts for

collaborators

23 papers

math.AG2026

New examples of twisted Brill-Noether loci II

L. Brambila-Paz, P. E. Newstead

Our purpose in this paper is to construct new examples of twisted Brill Noether loci on curves of genus g greater than 2 with negative expected dimension. We begin by completing th…

math.AG2022

New examples of twisted Brill-Noether loci I

L. Brambila-Paz, P. E. Newstead

Our purpose in this paper is to construct new examples of twisted Brill-Noether loci on curves of genus $g \geq 2$ . Many of these examples have negative expected dimension. We deduce…

math.AG2022★ 1 cited

Moduli of unstable bundles of HN-length two with fixed algebra of endomorphisms

L. Brambila-Paz, Rocio Rios Sierra

Let X be a smooth irreducible complex projective curve of genus g > 1. In this paper, we give necessary and sufficient conditions for an unstable bundle of HN-lenght 2 to have a pa…

math.AG2018

Stability and deformations of generalised Picard sheaves

I. Biswas, L. Brambila-Paz, P. E. Newstead

Let $C$ be a smooth irreducible complex projective curve of genus $g \geq 2$ and $M$ the moduli space of stable vector bundles on $C$ of rank $n$ and degree $d$ with $g cd (n, d) = 1$ .…

math.AG2018

$(t, ℓ)$ -stability and coherent systems

L. Brambila-Paz, O. Mata-Gutiérrez

Let $X$ be a non-singular irreducible complex projective curve of genus $g \geq 2$ . We use $(t, ℓ)$ -stability to prove the existence of coherent systems over $X$ that are $α$ -stab…

math.AG2017★ 1 cited

On generated coherent systems and a conjecture of D. C. Butler

L. Brambila-Paz, O. Mata-Gutierrez, P. E. Newstead +1

Let $(E, V)$ be a general generated coherent system of type $(n, d, n + m)$ on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semi…