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arXiv · 2606.31448

Biholomorphism type of left-invariant complex structures on nilpotent Lie groups

Keizo Hasegawa·Sönke Rollenske·Lorenzo Sillari·Adriano Tomassini·Konstantin Wehler
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Abstract

In this note we prove a conjecture by Hasegawa stating that a simply connected, nilpotent Lie group of dimension $2n$ endowed with a left-invariant complex structure is biholomorphic to $\mathbb{C}^n$.

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Keizo Hasegawa, Sönke Rollenske, Lorenzo Sillari, Adriano Tomassini, Konstantin Wehler. 2026-06-30. Biholomorphism type of left-invariant complex structures on nilpotent Lie groups. https://arxiv.org/abs/2606.31448

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