4 papers
math.DG2026
A solvmanifold with a left-invariant complex structure whose universal cover is not Stein
Shuho Kanda
We construct a simply connected solvable Lie group admitting lattices and a left-invariant complex structure such that is not Stein. This provides a counterexample…
math.DG2026
Holomorphic polynomial crystallographic actions of nilpotent groups
Shuho Kanda
We prove that every simply connected nilpotent Lie group endowed with a left-invariant nilpotent complex structure is biholomorphic to . Moreover, we construct such a…
math.DG2025
Several complex structures on the Oeljeklaus-Toma manifolds
Shuho Kanda
We investigate complex structures on the Oeljeklaus-Toma manifolds. The Oeljeklaus-Toma manifolds are defined using complex embeddings of number fields. By replacing these embeddin…
math.DG2025
A characterization of Oeljeklaus-Toma manifolds in locally conformally Kähler geometry
Shuho Kanda
We show that for a certain class of solvable Lie groups, if they admit a left-invariant non-Vaisman locally conformally Kähler metric and a lattice, they must arise from the const…