A solvmanifold with a left-invariant complex structure whose universal cover is not Stein
Abstract
We construct a simply connected solvable Lie group G admitting lattices and a left-invariant complex structure J such that (G,J) is not Stein. This provides a counterexample to Hasegawa's conjecture on the Stein property of simply connected unimodular solvable Lie groups with left-invariant complex structures.
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