13 citations · 31 across the 8 of their papers we have counts for
8 papers
Higgs bundles over elliptic curves for complex reductive Lie groups
Emilio Franco, Oscar Garcia-Prada, P. E. Newstead
We study Higgs bundles over an elliptic curve with complex reductive structure group, describing the (normalization of) its moduli spaces and the associated Hitchin fibration. The…
Higgs bundles over elliptic curves
Emilio Franco, Oscar Garcia-Prada, P. E. Newstead
In this paper we study -Higgs bundles over an elliptic curve when the structure group is a classical complex reductive Lie group. Modifying the notion of family, we define a…
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.
Lower bounds for Clifford indices in rank three
H. Lange, P. E. Newstead
Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in previous papers of the authors. In the present paper, we establish l…
Generation of vector bundles computing Clifford indices
H. Lange, P. E. Newstead
Clifford indices for semistable vector bundles on a smooth projective curve of genus at least 4 were defined in a previous paper of the authors. The present paper studies bundles w…
Stability of the Poincaré bundle
V. Balaji, L. Brambila Paz, P. E. Newstead
Let be a nonsingular projective curve of genus defined over the complex numbers, and let denote the moduli space of stable bundles of rank and determinant …
Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve
V. Balaji, A. D. King, P. E. Newstead
Let $\MC$ be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve . This paper identifies the alge…
On the cohomology ring of the moduli space of rank 2 vector bundles on a curve
A. D. King, P. E. Newstead
Let $\MS_g$ be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree over a smooth complex projective curve of genus . This paper p…