78 citations · 154 across the 40 of their papers we have counts for
43 papers
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…
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 . Many of these examples have negative expected dimension. We deduce…
Higher rank Brill-Noether theory and coherent systems: Open questions
Peter Newstead
This article presents a list of open questions on higher rank Brill-Noether theory and coherent systems. Background material and appropriate references are included.
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…
Stability and deformations of generalised Picard sheaves
I. Biswas, L. Brambila-Paz, P. E. Newstead
Let be a smooth irreducible complex projective curve of genus and the moduli space of stable vector bundles on of rank and degree with .…
Nonemptiness and smoothness of twisted Brill-Noether loci
George H. Hitching, Michael Hoff, Peter E. Newstead
Let be a vector bundle over a smooth curve . In this paper, we study twisted Brill--Noether loci parametrising stable bundles of rank and degree with the propert…