Tata Lectures on Theta 3 (Paperback)

Heisenberg groups in general.- The real Heisenberg groups.- Finite Heisenberg groups and sections of line bundles on abelian varieties.- Adelic Heisenberg groups and towers of abelian varieties.- Algebraic theta functions.- Theta functions with quadratic forms.- Riemann s theta relation.- The metaplectic group and the full functional equation of ?.- Theta Functions in Spherical Harmonics.- The homogeneous coordinate ring of an abelian variety.