Twisted differentials and Lee classes of locally conformally symplectic complex surfaces

DOI10.1007/s00209-023-03242-5OpenAlexW4321606602MaRDI QIDQ2686993

Georges Dloussky, Vestislav Apostolov

Publication date: 1 March 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.02122

zbMATH Keywords

compact complex surfaceslocally conformally symplectic structures

Mathematics Subject Classification ID

Compact complex surfaces (32J15)

Cites Work

• LCK rank of locally conformally Kähler manifolds with potential
• Generalized Kähler geometry
• Blowing up generalized Kähler 4-manifolds
• Unobstructed K-deformations of generalized complex structures and bi-Hermitian structures
• Currents on locally conformally Kähler manifolds
• Hodge theory for twisted differentials
• Every K 3 surface is Kähler
• An intrinsic characterization of Kähler manifolds
• Locally conformally Kähler metrics on certain non-Kählerian surfaces
• Bihermitian metrics on Hopf surfaces
• La 1-forme de torsion d'une variété hermitienne compacte
• Extendability of holomorphic differential forms near isolated hypersurface singularities
• Surfaces of class \(VII_ 0\) with curves
• Invariant varieties through singularities of holomorphic vector fields
• Topology of Hopf surfaces
• Locally conformally Kähler metrics on Hopf surfaces
• Courants kählériens et surfaces compactes. (Kähler currents and compact surfaces)
• On compact Kähler surfaces
• On the metric structure of non-Kähler complex surfaces
• Classification of 2-dimensional contracting rigid germs and Kato surfaces. I
• On the Lee classes of locally conformally symplectic complex surfaces
• Vector fields and foliations on compact surfaces of class \(\text{VII}_0\)
• Une construction élémentaire des surfaces d'Inoue-Hirzebruch. (An elementary construction of Inoue-Hirzebruch surfaces)
• On surfaces of class VII\(_0\)
• First Chern class and birational germs of Kato surfaces
• Non Kählerian surfaces with a cycle of rational curves
• Numerically anticanonical divisors on Kato surfaces
• From locally conformally Kähler to bi-Hermitian structures on non-Kähler complex surfaces
• Bi-Hermitian metrics on Kato surfaces
• A characterization of Inoue surfaces
• A characterization of hyperbolic Kato surfaces
• The pseudo-effective cone of a non-Kählerian surface and applications
• On the removal of singularities of analytic sets
• Donaldson theory on non-Kählerian surfaces and class VII surfaces with \(b_2=1\)
• Locally conformally Kähler metrics on Kato surfaces
• Structure des surfaces de Kato
• BIHERMITIAN STRUCTURES ON COMPLEX SURFACES Proc. London Math. Soc. (3) 79 (1999) 414–428)
• Classification of singular germs of mappings and deformations of compact surfaces of class VII₀
• PROJECTIVELY FLAT SURFACES AND BOGOMOLOV'S THEOREM ON CLASS VII₀ SURFACES
• Locally Conformally Symplectic Structures on Compact Non-Kähler Complex Surfaces
• A Parabolic Flow of Pluriclosed Metrics
• Classification of Generalized <scp>Kähler‐Ricci</scp> Solitons on Complex Surfaces
• On surfaces of class VII with numerically anticanonical divisor
• Birational Geometry of Foliations
• On the Structure of Compact Complex Analytic Surfaces, I
• On the Structure of Compact Complex Analytic Surfaces, II
• Normal Two-Dimensional Singularities. (AM-71)
• On surfaces of class \(VII_ 0\) with curves. II
• On surfaces of class VII\(_ 0\) with curves
• Bihermitian surfaces with odd first Betti number
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Twisted differentials and Lee classes of locally conformally symplectic complex surfaces