Displaying similar documents to “Vanishing theorems for compact hessian manifolds”

A compactification of ( * ) 4 with no non-constant meromorphic functions

Jun-Muk Hwang, Dror Varolin (2002)

Annales de l’institut Fourier

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For each 2-dimensional complex torus T , we construct a compact complex manifold X ( T ) with a 2 -action, which compactifies ( * ) 4 such that the quotient of ( * ) 4 by the 2 -action is biholomorphic to T . For a general T , we show that X ( T ) has no non-constant meromorphic functions.