Special Bohr - Sommerfeld lagrangian submanifolds in algebraic varieties

摘要

We present a new notion of speciality which is valid for Bohr - Sommerfeldlagrangian submanifolds. For algebraic varieties it leads to the constructionof finite dimensional moduli spaces which are algebraic starting with any ampleline bundle. The construction can be exploited both in Geometric Quantizationand Mirror Symmetry.