A simply connected solvable Lie group with a left-invariant complex structure is shown to be non-Stein, providing a counterexample to Hasegawa's 2010 conjecture.
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A solvmanifold with a left-invariant complex structure whose universal cover is not Stein
A simply connected solvable Lie group with a left-invariant complex structure is shown to be non-Stein, providing a counterexample to Hasegawa's 2010 conjecture.