# Local structure of principally polarized stable Lagrangian fibrations - Mathematics > Algebraic Geometry

Local structure of principally polarized stable Lagrangian fibrations - Mathematics > Algebraic Geometry - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: A holomorphic Lagrangian fibration is stable if the characteristic cycles ofthe singular fibers are of type $I m, 1 \leq m <\infty,$ or $A {\infty}$. Wewill give a complete description of the local structure of a stable Lagrangianfibration when it is principally polarized. In particular, we give an explicitform of the period map of such a fibration and conversely, for a period map ofthe described type, we construct a principally polarized stable Lagrangianfibration with the given period map. This enables us to give a number ofexamples exhibiting interesting behavior of the characteristic cycles.

Autor: Jun-Muk Hwang, Keiji Oguiso

Fuente: https://arxiv.org/