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arXiv · 1110.2322

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

Dmitry V. Egorov
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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).

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Dmitry V. Egorov. 2011-10-11. Theta-functions on T^2-bundles over T^2 with the Euler class zero. https://doi.org/10.1007/s11202-009-0072-x

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