A rigidity theorem for Lagrangian deformations
代数几何
2007-05-23 v3 辛几何
摘要
We consider deformations of singular Lagrangian varieties in symplectic spaces. We show the coherence of the direct image sheaves of relative infinitesimal Lagrangian deformations. Using this result, we prove that, under some assumptions, a Lagrangian deformation is analytically rigid provided that this is the case infinitesimally. This gives generalisations of recent results by Colin de Verdi\`ere concerning Lagrangian curves.
引用
@article{arxiv.math/0305394,
title = {A rigidity theorem for Lagrangian deformations},
author = {Mauricio D. Garay},
journal= {arXiv preprint arXiv:math/0305394},
year = {2007}
}
备注
17 pages