|
Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 4, Pages 818–830
(Mi smj2003)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
Theta functions on $T^2$-bundles over $T^2$ with the zero Euler class
D. V. Egorov Institute for Mathematics and Informatics, Yakutsk State University, Yakutsk
Abstract:
We construct an analog of the classical theta function on an abelian variety for the closed 4-dimensional symplectic manifolds that 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 analog of the Lefschetz theorem).
Keywords:
theta function, symplectic embedding.
Received: 11.01.2009
Citation:
D. V. Egorov, “Theta functions on $T^2$-bundles over $T^2$ with the zero Euler class”, Sibirsk. Mat. Zh., 50:4 (2009), 818–830; Siberian Math. J., 50:4 (2009), 647–657
Linking options:
https://www.mathnet.ru/eng/smj2003 https://www.mathnet.ru/eng/smj/v50/i4/p818
|
Statistics & downloads: |
Abstract page: | 230 | Full-text PDF : | 66 | References: | 41 | First page: | 2 |
|