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math.DG2007★ 1 cited
Theta-functions on the Kodaira-Thurston manifold
William D. Kirwin, Alejandro Uribe
The Kodaira--Thurston M manifold is a compact, 4-dimensional nilmanifold which is symplectic and complex but not Kaehler. We describe a construction of theta-functions associated t…
math.DG1998★ 3 cited
Nearly Kahlerian Embeddings of Symplectic Manifolds
David Borthwick, Alejandro Uribe
Given an integral symplectic manifold, we construct a family of "coherent state" maps into complex projective space. The maps are built from sections of the tensor powers of a herm…