Proper modifications of generalized \(p\)-Kähler manifolds

DOI10.1007/s12220-016-9705-zzbMath1369.53051arXiv1503.08603OpenAlexW2274730226MaRDI QIDQ2012939

Lucia Alessandrini

Publication date: 3 August 2017

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.08603

zbMATH Keywords

blow-upKähler manifoldmodificationbalanced manifold\(p\)-Kähler manifoldSKT manifold

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Compact Kähler manifolds: generalizations, classification (32J27) Holomorphic bundles and generalizations (32L05)

Related Items (7)

Forms and currents defining generalized \(p\)-Kähler structures ⋮ POWER SERIES PROOFS FOR LOCAL STABILITIES OF KÄHLER AND BALANCED STRUCTURES WITH MILD -LEMMA ⋮ On cohomological and formal properties of strong Kähler with torsion and astheno-Kähler metrics ⋮ Bott–Chern blow-up formulae and the bimeromorphic invariance of the $\partial \partial $-Lemma for threefolds ⋮ The heredity and bimeromorphic invariance of the \(\partial\bar{\partial}\)-lemma property ⋮ Dolbeault cohomologies of blowing up complex manifolds ⋮ On local stabilities of -Kähler structures

Cites Work

• On strongly Gauduchon metrics of compact complex manifolds
• Holomorphic submersions onto Kähler or balanced manifolds
• Classes of compact non-Kähler manifolds
• Metric properties of manifolds bimeromorphic to compact Kähler spaces
• Compact p-Kähler manifolds
• On the existence of special metrics in complex geometry
• An intrinsic characterization of Kähler manifolds
• Positive \(\partial\bar\partial\)-closed currents and non-Kähler geometry
• Blow-ups and resolutions of strong Kähler with torsion metrics
• Kähler spaces and proper open morphisms
• A balanced proper modification of \(P_ 3\)
• Real homotopy theory of Kähler manifolds
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• Closedness of the Douady spaces of compact Kähler spaces
• 1-convex manifolds are \(p\)-Kähler
• Stability of strongly Gauduchon manifolds under modifications
• Deformation limits of projective manifolds: Hodge numbers and strongly Gauduchon metrics
• Relations between the Kähler cone and the balanced cone of a Kähler manifold
• A cut-off theorem for plurisubharmonic currents
• Compact complex manifolds with small Gauduchon cone
• A Parabolic Flow of Pluriclosed Metrics
• Special metrics on compact complex manifolds
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