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

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

2011-10-11

arxiv.org/abs/1110.2322v1

Siberian J. Math. Volume 50, Number 4, (2009) 647-657

Mathematics

Differential Geometry

13 pages

Scientific paper

10.1007/s11202-009-0072-x

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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