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A Torelli theorem for moduli spaces of principal bundles on curves defined over
Indranil Biswas, Olivier Serman
Let be a geometrically irreducible smooth projective curve, of genus at least three, defined over the field of real numbers. Let be a connected reductive affine algebraic g…
On theta functions of order four
Yaacov Kopeliovich, Christian Pauly, Olivier Serman
We prove that the fourth powers of theta functions with even characteristics form a basis of the space of even theta functions of order four on a principally polarized Abelian vari…
Local structure of SU_C(3) for a curve of genus 2
Olivier Serman
The aim of this note is to give a precise description of the local structure of the moduli space of rank 3 vector bundles over a curve of genus 2, which is in particular shown to b…
Moduli spaces of orthogonal bundles over an algebraic curve
Olivier Serman
We prove that the forgetful morphism from the moduli space of orthogonal bundles to the moduli space of vector bundles over a smooth curve is an embedding. Our proof relies on an e…