Poisson modules and generalized geometry
Differential Geometry
2009-05-21 v1 Algebraic Geometry
Abstract
The Serre construction of rank two holomorphic bundles with a section is adapted to construct generalized holomorphic bundles on a generalized complex 4-manifold from the data of a set of points on an elliptic curve. The motivation is the special case of rank two Poisson modules on a complex surface with a holomorphic Poisson structure.
Cite
@article{arxiv.0905.3227,
title = {Poisson modules and generalized geometry},
author = {Nigel Hitchin},
journal= {arXiv preprint arXiv:0905.3227},
year = {2009}
}
Comments
Dedicated to S-T Yau on the occasion of his 60th birthday