Theta-functions on T^2-bundles over T^2 with the Euler class zero
Differential Geometry
2011-10-12 v1
Abstract
We construct an analogue of the classical theta-function on an Abelian variety for closed 4-dimensional symplectic manifolds which are T^2-bundles over T^2 with the zero Euler class. We use our theta-functions for a canonical symplectic embedding of these manifolds into complex projective spaces (an analogue of the Lefschetz theorem).
Cite
@article{arxiv.1110.2322,
title = {Theta-functions on T^2-bundles over T^2 with the Euler class zero},
author = {Dmitry V. Egorov},
journal= {arXiv preprint arXiv:1110.2322},
year = {2011}
}
Comments
13 pages