Lagrangian fibrations and theta functions

  title={Lagrangian fibrations and theta functions},
  author={Yuichi Nohara},
  • Yuichi Nohara
  • Published 2006
  • Mathematics, Physics
  • In this thesis we study asymptotic behavior of projective embeddings of abelian varieties and their amoebas. The projective embeddings are given by theta functions. It is known that a Lagrangian fibration of the abelian variety determines a basis of theta functions. After reviewing the relation from the viewpoint of geometric quantization and mirror symmetry, we prove that the Lagrangian fibration of the abelian variety can be approximated by the moment maps of natural torus action in a… CONTINUE READING