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).
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Original Russian Text Copyright © 2009 Egorov D. V.
The author was supported by the Russian Foundation for Basic Research (Grant 06-01-00094-a).
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Yakutsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 2, pp. 320–328, March–April, 2009.
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Egorov, D.V. Theta functions on the Kodaira-Thurston manifold. Sib Math J 50, 253–260 (2009). https://doi.org/10.1007/s11202-009-0029-0
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DOI: https://doi.org/10.1007/s11202-009-0029-0