NONEXISTENCE OF HOLOMORPHIC SUBMERSIONS BETWEEN COMPLEX UNIT BALLS EQUIVARIANT WITH RESPECT TO A LATTICE AND THEIR GENERALIZATIONS

In this article we prove first of all the nonexistence of holomorphic submersions other than covering maps between compact quotients of complex unit balls, with a proof that works equally well in a more general equivariant setting. For a non-equidimensional surjective holomorphic map between compact...

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