On blowing up extremal Kähler manifolds

DOI10.1215/00127094-1593308zbMath1259.58002arXiv1010.5130OpenAlexW3101103272MaRDI QIDQ431551

Gábor Székelyhidi

Publication date: 28 June 2012

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5130

zbMATH Keywords

extremal Kähler metricblowup of a point

Mathematics Subject Classification ID

Critical metrics (58E11) Higher-order elliptic equations (35J30)

Related Items (19)

On cscK resolutions of conically singular cscK varieties ⋮ Hermitian Yang-Mills connections on blowups ⋮ Slope instability of projective spaces blown up along a line ⋮ Smoothing singular constant scalar curvature Kähler surfaces and minimal Lagrangians ⋮ Geometric Constructions of Extremal Metrics on Complex Manifolds ⋮ Stability conditions for polarised varieties ⋮ Extremal metrics on the total space of destabilising test configurations ⋮ Steady Kähler–Ricci solitons on crepant resolutions of finite quotients of Cn$\mathbb {C}^n$ ⋮ Valuative stability of polarised varieties ⋮ Extremal metrics on ruled manifolds ⋮ Big and Nef Classes, Futaki Invariant and Resolutions of Cubic Threefolds ⋮ Expansions of solutions to extremal metric type equations on blowups of cscK surfaces ⋮ A smörgåsbord of scalar-flat Kähler ALE surfaces ⋮ On the Kummer construction for Kcsc metrics ⋮ Critical metrics on connected sums of Einstein four-manifolds ⋮ Extremal Kähler metrics induced by finite or infinite-dimensional complex space forms ⋮ Extremal K\"ahler metrics on blow-ups of parabolic ruled surfaces ⋮ Degenerations of \(\mathbf{C}^n\) and Calabi-Yau metrics ⋮ Blowing up extremal Kähler manifolds. II

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