Asymptotically log Fano varieties

DOI10.1016/j.aim.2015.08.001zbMath1337.14033arXiv1308.2503OpenAlexW1817061557MaRDI QIDQ887333

Yanir A. Rubinstein, I. A. Chel'tsov

Publication date: 28 October 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.2503

zbMATH Keywords

Fano varietiesconical singularitiesKahler edge metricsKahler-Einstein metriclog Fano varieties

Mathematics Subject Classification ID

Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items

K-polystability of 3-dimensional log Fano pairs of Maeda type, On uniform K-stability for some asymptotically log del Pezzo surfaces, Classification of strongly asymptotically log del Pezzo flags and surfaces, On \(\log\mathrm{K}\)-stability for asymptotically \(\log\) Fano varieties, Basis log canonical thresholds, local intersection estimates, and asymptotically log del Pezzo surfaces, Conical Kähler-Einstein metrics revisited, Tian’s properness conjectures and Finsler geometry of the space of Kähler metrics, Small angle limits of Hamilton's footballs, On the Cheltsov-Rubinstein conjecture, High-Dimensional Convex Sets Arising in Algebraic Geometry, On the body of ample angles of asymptotically log Fano varieties, On K-polystability for log del Pezzo pairs of Maeda type, Tian’s Properness Conjectures:An Introduction to Kähler Geometry, Delta invariants of smooth cubic surfaces, Degenerating Kähler-Einstein cones, locally symmetric cusps, and the Tian-Yau metric

Cites Work

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• Singularities of Cox rings of Fano varieties
• Conical Kähler-Einstein metrics revisited
• The Ricci continuity method for the complex Monge-Ampère equation, with applications to Kähler-Einstein edge metrics
• On Kähler-Einstein surfaces with edge singularities
• A numerical criterion for very ample line bundles
• Testing log K-stability by blowing up formalism
• On Calabi's conjecture for complex surfaces with positive first Chern class
• On compact Kähler manifolds with positive definite Ricci tensor
• Einstein metrics on connected sums of \((S^2\times S^3)\)
• Stability of tangent bundles of minimal algebraic varieties
• Log canonical thresholds of del Pezzo surfaces
• On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)
• Abundance theorem for semi log canonical threefolds
• A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics
• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Einstein metrics on five-dimensional Seifert bundles
• Smooth and Singular Kähler–Einstein Metrics
• Characterization of varieties of Fano type via singularities of Cox rings
• Anticanonical Rational Surfaces
• Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne
• Rational connectedness of log Q-Fano varieties
• Corrigendum: K‐Stability and Kähler‐Einstein Metrics
• Towards the second main theorem on complements
• Existence of minimal models for varieties of log general type
• Log canonical thresholds of smooth Fano threefolds
• Spherical harmonics and the icosahedron
• Elliptic theory of differential edge operators I
• 3-FOLD LOG FLIPS
• Singularities of Pairs
• On flops and canonical metrics
• Finite Subgroups of the Plane Cremona Group
• Simple normal crossing Fano varieties and log Fano manifolds
• Kähler Metrics with Cone Singularities Along a Divisor
• Positivity in Kähler–Einstein theory
• Riemannian Geometry
• Complete Kahler Manifolds with Zero Ricci Curvature. I
• Effective base point freeness
• Higher-dimensional algebraic geometry
• Kähler-Einstein metrics with edge singularities