Theta-functions on T^2-bundles over T^2 with the Euler class zero

Autor:	Egorov, Dmitry V.
Rok vydání:	2011
Předmět:	Mathematics - Differential Geometry
Zdroj:	Siberian J. Math. Volume 50, Number 4, (2009) 647-657
Druh dokumentu:	Working Paper
DOI:	10.1007/s11202-009-0072-x
Popis:	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). Comment: 13 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1110.2322 Zobrazit plný text záznamu View this record from Arxiv