Theta functions, old and new

Arnaud Beauville (1)

1 JAD - Laboratoire Jean Alexandre Dieudonné

Notes from lectures given at Tsinghua University in 2011. We develop first the modern theory of classical theta functions (complex tori, line bundles, Jacobians), then explain how it can be generalized by considering higher rank vector bundles.

Domaines: Géométrie algébrique [math.AG]

Arnaud Beauville. Theta functions, old and new. Open Problems and Surveys of Contemporary Mathematics, 6, Higher Education Press et International Press, pp.99-131, 2013, Surveys of Modern Mathematics. ⟨hal-01141595⟩