16 citations · 26 across the 4 of their papers we have counts for
4 papers
Trigonal curves and Galois Spin(8)-bundles
W. M. Oxbury, S. Ramanan
Let SU_C(2) denote the moduli variety of rank 2 semistable vector bundles with trivial determinant on an algebraic curve C. We prove that if C is trigonal then there exists a proje…
Heisenberg invariant quartics and SU_C(2) for a curve of genus four
William Oxbury, Christian Pauly
If C is a curve of genus 4 without vanishing theta-nulls then there exists a unique (irreducible) Heisenberg-invariant quartic Q_C in |2Θ| = P^{15} such that Sing Q_C contains the…
Subvarieties of SU_C(2) and 2θ-divisors in the Jacobian
W. M. Oxbury, C. Pauly, E. Previato
We explore some of the interplay between Brill-Noether subvarieties of the moduli space SU_C(2,K) of rank 2 bundles with canonical determinant on a smooth projective curve and 2θdi…
Prym Varieties and the Moduli of Spin Bundles
W. M. Oxbury
We show that the Verlinde formula for moduli spaces of spin bundles on an algebraic curve gives dimensions of direct sums of spaces of theta functions over the finite set of Prym v…