6 papers
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…
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…
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…
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 constr…
On iterated circumcenter sequences
Shuho Kanda, Junnosuke Koizumi
An iterated circumcenter sequence (ICS) in dimension is a sequence of points in where each point is the circumcenter of the preceding points. The purpose o…
The hard Lefschetz duality for locally conformally almost Kähler manifolds
Shuho Kanda
We prove the hard Lefschetz duality for locally conformally almost Kähler manifolds. This is a generalization of that for almost Kähler manifolds studied by Cirici and Wilson. We g…