Donaldson theory on non-Kählerian surfaces and class VII surfaces with \(b_2=1\)

DOI10.1007/s00222-005-0451-2zbMath1093.32006arXiv0704.2638OpenAlexW2093463321MaRDI QIDQ2574966

Andrei Teleman

Publication date: 5 December 2005

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0704.2638

zbMATH Keywords

Donaldson theoryKobayashi-Hitchin correspondencesurface of class VII

Mathematics Subject Classification ID

Applications of global analysis to structures on manifolds (57R57) Moduli, classification: analytic theory; relations with modular forms (14J15) Compact complex surfaces (32J15)

Related Items (31)

Special birational structures on non-Kählerian complex surfaces ⋮ The Chern-Ricci flow ⋮ Vector bundles on blown-up Hopf surfaces ⋮ Regularity results for pluriclosed flow ⋮ A vanishing result for a Casson-type instanton invariant ⋮ The Chern-Ricci flow on primary Hopf surfaces ⋮ Oka manifolds: from Oka to Stein and back ⋮ Monopole Floer homology for rational homology 3-spheres ⋮ Toric Kato manifolds ⋮ Instantons and curves on class VII surfaces ⋮ Regularity theory for pluriclosed flow ⋮ Leafwise flat forms on Inoue-Bombieri surfaces ⋮ Twisted differentials and Lee classes of locally conformally symplectic complex surfaces ⋮ Smooth deformations of singular contractions of class VII surfaces ⋮ Infinite bubbling in non-Kählerian geometry ⋮ FAMILIES OF HOLOMORPHIC BUNDLES ⋮ On a class of foliated non-Kählerian compact complex surfaces ⋮ On a question of Vaisman concerning complex surfaces ⋮ Donaldson theory in non-Kählerian geometry ⋮ HERMITIAN–EINSTEIN CONNECTIONS ON PRINCIPAL BUNDLES OVER FLAT AFFINE MANIFOLDS ⋮ The Yamabe invariants of Inoue surfaces, Kodaira surfaces, and their blowups ⋮ Pluriclosed Flow and the Geometrization of Complex Surfaces ⋮ From non-Kählerian surfaces to Cremona group of \(\mathbb{P}^2(\mathbb{C})\) ⋮ Moduli spaces of \(\text{PU}(2)\)-instantons on minimal class VII surfaces with \(b_2=1\) ⋮ The pseudo-effective cone of a non-Kählerian surface and applications ⋮ Collapsing of the Chern-Ricci flow on elliptic surfaces ⋮ Non Kählerian surfaces with a cycle of rational curves ⋮ On the torsion of the first direct image of a locally free sheaf ⋮ Classification of non-Kähler surfaces and locally conformally Kähler geometry ⋮ Instanton moduli spaces on non-Kählerian surfaces. Holomorphic models around the reduction loci ⋮ The Chern–Ricci flow on complex surfaces

Cites Work

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• Sur l'existence des fibrés vectoriels holomorphes sur les surfaces non-algébriques.
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• PROJECTIVELY FLAT SURFACES AND BOGOMOLOV'S THEOREM ON CLASS VII₀ SURFACES
• On surfaces of class VII\(_ 0\) with curves

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