[BOOK][B] Principles of locally conformally Kähler geometry
L Ornea, M Verbitsky - 2024 - Springer
Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …
hundred pages an idea that could be perfectly explained in a few minutes. A better …
Special Hermitian metrics on Oeljeklaus–Toma manifolds
A Otiman - Bulletin of the London Mathematical Society, 2022 - Wiley Online Library
Oeljeklaus–Toma (OT) manifolds are higher dimensional analogues of Inoue‐Bombieri
surfaces and their construction is associated to a finite extension KK of QQ and a subgroup …
surfaces and their construction is associated to a finite extension KK of QQ and a subgroup …
Locally conformally symplectic and Kähler geometry
G Bazzoni - EMS Surveys in Mathematical Sciences, 2018 - ems.press
The goal of this note is to give an introduction to locally conformally symplectic and Kähler
geometry. In particular, the first two sections aim to provide the reader with enough …
geometry. In particular, the first two sections aim to provide the reader with enough …
On metric and cohomological properties of Oeljeklaus–Toma manifolds
We study metric and cohomological properties of Oeljeklaus–Toma manifolds. In particular,
we describe the structure of the double complex of differential forms and its Bott–Chern …
we describe the structure of the double complex of differential forms and its Bott–Chern …
Hodge decomposition for Cousin groups and for Oeljeklaus-Toma manifolds
A Otiman, M Toma - arxiv preprint arxiv:1811.02541, 2018 - arxiv.org
We compute the Dolbeault cohomology of geodesically convex domains contained in
Cousin groups which satisfy a strong dispersiveness condition. As a consequence we obtain …
Cousin groups which satisfy a strong dispersiveness condition. As a consequence we obtain …
On locally conformally Kähler metrics on Oeljeklaus–Toma manifolds
Ş Deaconu, V Vuletescu - manuscripta mathematica, 2023 - Springer
Abstract We show that Oeljeklaus–Toma manifolds X (K, U) where K is a number field of
signature (s, t) such that s≥ 1, t≥ 2 and s≥ 2 t admit no locally conformally Kähler metric …
signature (s, t) such that s≥ 1, t≥ 2 and s≥ 2 t admit no locally conformally Kähler metric …
On linear combinations of cohomological invariants of compact complex manifolds
J Stelzig - Advances in Mathematics, 2022 - Elsevier
We prove that there are no unexpected universal integral linear relations and congruences
between Hodge, Betti and Chern numbers of compact complex manifolds and determine the …
between Hodge, Betti and Chern numbers of compact complex manifolds and determine the …
[PDF][PDF] Rigidity of Oeljeklaus–Toma manifolds
Rigidity of Oeljeklaus–Toma manifolds Page 1 ANNALES DE L’INSTITUT FOURIER
Université Grenoble Alpes Les Annales de l’institut Fourier sont membres du Centre …
Université Grenoble Alpes Les Annales de l’institut Fourier sont membres du Centre …
The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature, and Oeljeklaus–Toma manifolds
We prove local Calabi and higher order estimates for solutions to the continuity equation
introduced by La Nave–Tian and extended to Hermitian metrics by Sherman–Weinkove. We …
introduced by La Nave–Tian and extended to Hermitian metrics by Sherman–Weinkove. We …
Hopf surfaces in locally conformally Kähler manifolds with potential
An LCK manifold with potential is a quotient M of a Kähler manifold X equipped with a
positive plurisubharmonic function f, such that the monodromy group acts on X by …
positive plurisubharmonic function f, such that the monodromy group acts on X by …