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Kähler Solvmanifolds

Donu Arapura
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Abstract

Compact Kähler solvmanifolds are classified up to biholomorphism. A proof of a conjecture Benson and Gordon, that completely solvable compact Kähler solvmanifolds are tori is deduced from this. The main ingredient in the proof is a restriction theorem for polycyclic Kähler groups proved by Nori and the author.

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Donu Arapura. 2003-06-29. Kähler Solvmanifolds. https://arxiv.org/abs/math/0306368

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