Hitchin Hamiltonians in Genus 2

Viktoria Heu (1) , Frank Loray (2)

1 IRMA - Institut de Recherche Mathématique Avancée
2 IRMAR - Institut de Recherche Mathématique de Rennes

We give an explicit expression of the Hitchin Hamiltonian system for rank two vector bundles with trivial determinant bundle over a curve of genus two.

Mots clés: Kummer Surface; Vector Bundles; Moduli Spaces; Higgs Bundles

Domaines: Géométrie algébrique [math.AG]

Viktoria Heu, Frank Loray. Hitchin Hamiltonians in Genus 2. Analytic and algebraic geometry, Springer, pp.153-172, 2017, 978-981-10-5648-2. ⟨10.1007/978-981-10-5648-2_10⟩. ⟨hal-02344433⟩