[图书][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 …
A-TYPE CONDITION BEYOND THE KÄHLER REALM
J Stelzig, SO Wilson - Journal of the Institute of Mathematics of …, 2022 - cambridge.org
A ddc-TYPE CONDITION BEYOND THE KAHLER REALM 3.1. A long exact sequence 8 Page 1 J.
Inst. Math. Jussieu (2023), 1–54 doi:10.1017/S1474748023000312 1 A ddc-TYPE CONDITION …
Inst. Math. Jussieu (2023), 1–54 doi:10.1017/S1474748023000312 1 A ddc-TYPE CONDITION …
Leafwise flat forms on Inoue-Bombieri surfaces
D Angella, V Tosatti - Journal of Functional Analysis, 2023 - Elsevier
We prove that every Gauduchon metric on an Inoue-Bombieri surface admits a strongly
leafwise flat form in its∂∂‾-class. Using this result, we deduce uniform convergence of the …
leafwise flat form in its∂∂‾-class. Using this result, we deduce uniform convergence of the …
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 …
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 …
Remarks on Dolbeault cohomology of Oeljeklaus-Toma manifolds and Hodge theory
H Kasuya - Proceedings of the American Mathematical Society, 2021 - ams.org
We give explicit harmonic representatives of Dolbeault cohomology of Oeljeklaus-Toma
manifolds and show that they are geometrically Dolbeault formal. We also give explicit …
manifolds and show that they are geometrically Dolbeault formal. We also give explicit …
A Generalization of Inoue Surfaces
D Petcu - arXiv preprint arXiv:2406.05445, 2024 - arxiv.org
arXiv:2406.05445v1 [math.DG] 8 Jun 2024 Page 1 arXiv:2406.05445v1 [math.DG] 8 Jun 2024
A GENERALIZATION OF INOUE SURFACES S+ DAVID PETCU Abstract. Using Lie goups …
A GENERALIZATION OF INOUE SURFACES S+ DAVID PETCU Abstract. Using Lie goups …