Rank four vector bundles without theta divisor over a curve of genus two

Christian Pauly (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

We show that the locus of stable rank four vector bundles without theta divisor over a smooth projective curve of genus two is in canonical bijection with the set of theta-characteristics. We give several descriptions of these bundles and compute the degree of the rational theta map.

Domaines: Géométrie algébrique [math.AG]

Christian Pauly. Rank four vector bundles without theta divisor over a curve of genus two. 2008. ⟨hal-00274414⟩