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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 320–328
(Mi smj1960)
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This article is cited in 3 scientific papers (total in 3 papers)
Theta functions on the Kodaira–Thurston manifold
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 Kodaira–Thurston nilmanifold, which is defined as a (nonholomorphic) section of a special complex line bundle over the Kodaira–Thurston manifold. The theta functions we introduce are used for a canonical symplectic embedding of the Kodaira–Thurston manifold into a complex projective space (an analog of the Lefschetz theorem).
Keywords:
theta function, Kodaira–Thurston manifold, symplectic embedding.
Received: 05.12.2008
Citation:
D. V. Egorov, “Theta functions on the Kodaira–Thurston manifold”, Sibirsk. Mat. Zh., 50:2 (2009), 320–328; Siberian Math. J., 50:2 (2009), 253–260
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https://www.mathnet.ru/eng/smj1960 https://www.mathnet.ru/eng/smj/v50/i2/p320
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Abstract page: | 304 | Full-text PDF : | 89 | References: | 52 | First page: | 5 |
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