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Beskrivning
Aimed at researchers and advanced graduate students in algebraic geometry, this text begins with a generalization of parts of Mumford's theory of the equations defining abelian varieties and moduli spaces. It also introduces the reader to some aspects of the research into representation and invariant theories and their applications to these geometrical questions.
Standard Heisenberg Groups.- Heisenberg groups of line bundles on abelian varieties.- Theta structures and the addition formula.- Geometry and arithmetic of the fundamental relations.- Invariant theory, arithmetic and vector bundles.