University of Liverpool

output

19922026

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing 2013 · math.AGShow all

6 papers · 2 filters

math.AG2013

Non-emptiness of Brill-Noether loci in M(2,L)

H. Lange, P. E. Newstead, V. Strehl

Let $C$ be a smooth projective complex curve of genus $g \geq 2$ . We investigate the Brill-Noether locus consisting of stable bundles of rank 2 and determinant $L$ of odd degree $d…

math.AG2013★ 2 cited

Birational geometry of Fano hypersurfaces of index two

Aleksandr Pukhlikov

We prove that every non-trivial structure of a rationally connected fibre space (and so every structure of a Mori-Fano fibre space) on a general (in the sense of Zariski topology)…

math.AG2013★ 25 cited

On linear systems and a conjecture of D. C. Butler

U. N. Bhosle, L. Brambila-Paz, P. E. Newstead

Let $C$ be a smooth irreducible projective curve of genus $g$ and $L$ a line bundle of degree $d$ generated by a linear subspace $V$ of $H^{0} (L)$ of dimension $n + 1$ . We prove a conj…

math.AG2013★ 3 cited

Higgs bundles over elliptic curves

Emilio Franco, Oscar Garcia-Prada, P. E. Newstead

In this paper we study $G$ -Higgs bundles over an elliptic curve when the structure group $G$ is a classical complex reductive Lie group. Modifying the notion of family, we define a…

math.AG2013★ 7 cited

On coherent systems with fixed determinant

I. Grzegorczyk, P. E. Newstead

Over the past 20 years, a great deal of work has been done on the moduli spaces of coherent systems on algebraic curves. Until recently, however, there has been very little work on…

math.AG2013

Bundles computing Clifford indices on trigonal curves

H. Lange, P. E. Newstead

In this paper, we determine bundles which compute the higher Clifford indices for trigonal curves.