Kähler-Einstein metrics: old and new (Q680314)

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Language	Label	Description	Also known as
English	Kähler-Einstein metrics: old and new	scientific article

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scholarly article

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Kähler-Einstein metrics: old and new (English)

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Daniele Angella

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Cristiano Spotti

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Complex Manifolds

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publication date

23 January 2018

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full work available at URL

https://arxiv.org/abs/1710.05380

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zbMATH Keywords

Kähler-Einstein

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Fano

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K-stability

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Yau-Tian-Donaldson conjecture

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moduli of Kähler-Einstein

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MaRDI profile type

MaRDI publication profile

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Réduction du cas positif de l'équation de Monge-Ampère sur les variétés Kählériennes compactes à la démonstration d'une inégalité

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Lectures on Kähler manifolds

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A thermodynamical formalism for Monge-Ampère equations, Moser-Trudinger inequalities and Kähler-Einstein metrics

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K-polystability of Q-Fano varieties admitting Kähler-Einstein metrics

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Convexity of the 𝐾-energy on the space of Kähler metrics and uniqueness of extremal metrics

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A variational approach to the Yau–Tian–Donaldson conjecture

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Einstein manifolds

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Sur les variétés analytiques complexes

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Vector fields and Ricci curvature

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HOLOMORPHIC TENSORS AND VECTOR BUNDLES ON PROJECTIVE VARIETIES

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Lectures on symplectic geometry

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Holomorphic vector fields and Kaehler manifolds

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Log canonical thresholds of del Pezzo surfaces

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Log canonical thresholds of smooth Fano threefolds

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The space of Kähler metrics.

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Kähler–Einstein Metrics and Stability

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Kähler-Einstein metrics on Fano manifolds. III: Limits as cone angle approaches \boldmath2𝜋 and completion of the main proof

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On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics

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Weak geodesics in the space of Kähler metrics

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Kähler-Einstein metrics along the smooth continuity method

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Higher-dimensional algebraic geometry

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Real homotopy theory of Kähler manifolds

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Semi-continuity of complex singularity exponents and Kähler–Einstein metrics on Fano orbifolds

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Remarks on the existence problem of positive Kähler-Einstein metrics

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Infinite determinants, stable bundles and curvature

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Scalar curvature and projective embeddings. I

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Holomorphic discs and the complex Monge-Ampère equation.

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Scalar curvature and stability of toric varieties.

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Lower bounds on the Calabi functional

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Kähler Metrics with Cone Singularities Along a Divisor

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Algebraic families of constant scalar curvature K\"ahler metrics

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Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry

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Gromov-Hausdorff limits of Kähler manifolds and algebraic geometry. II

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Classical solutions of fully nonlinear, convex, second-order elliptic equations

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Singular Kähler-Einstein metrics

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The Monge-Ampère equation and its applications

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Optimal bounds for the volumes of Kähler-Einstein Fano manifolds

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A valuative criterion for uniform K-stability of \(\mathbb{Q}\)-Fano varieties

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K-STABILITY OF FANO MANIFOLDS WITH NOT SMALL ALPHA INVARIANTS

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An obstruction to the existence of Einstein Kaehler metrics

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Elliptic partial differential equations of second order

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Complex Monge-Ampère equations and geodesics in the space of Kähler metrics. Lecture notes

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Degenerate complex Monge-Ampère equations

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Kähler-Einstein metrics: from cones to cusps

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Complex geometry. An introduction

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Kähler-Einstein metrics with edge singularities

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On compact Kähler manifolds with positive definite Ricci tensor

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On Kähler varieties of restricted type. (An intrinsic characterization of algebraic varieties.)

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Complex manifolds and deformation of complex structures. Transl. from the Japanese by Kazuo Akao

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Rational connectedness and boundedness of Fano manifolds

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Extremal Kähler metrics and complex deformation theory

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Geodesics in the space of Kähler metrics

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Greatest lower bounds on Ricci curvature for toric Fano manifolds

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Minimizing normalized volumes of valuations

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Remarks on logarithmic K-stability

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Conical Kähler-Einstein metrics revisited

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Special test configuration and \(K\)-stability of Fano varieties

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On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch

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A functional integrating Futaki's invariant

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Some symplectic geometry on compact Kähler manifolds. I

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Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals

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Sur la Structure du Groupe d’Homéomorphismes Analytiques d’une Certaine Variété Kaehlérinne

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On the Chern numbers of surfaces of general type

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Projective manifolds with ample tangent bundles

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On the Volume Elements on a Manifold

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Stability of projective varieties

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An Algebraic Surface with K Ample, (K 2 ) = 9, p g = q = 0

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Geometric Invariant Theory

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The group of isometries of a Riemannian manifold

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Complex analytic coordinates in almost complex manifolds

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Lectures on introduction to moduli problems and orbit spaces

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Compact moduli spaces of del Pezzo surfaces and Kähler-Einstein metrics

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Multiplier ideal sheaves and the Kähler-Ricci flow

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A study of the Hilbert-Mumford criterion for the stability of projective varieties

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Canonical coordinates and Bergmann metrics

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Complex Monge-Ampere and Symplectic Manifolds

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Kähler-Einstein metrics on \(\mathbb{Q}\)-smoothable Fano varieties, their moduli and some applications

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Explicit Gromov-Hausdorff compactifications of moduli spaces of Kähler-Einstein Fano manifolds

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K-stability of constant scalar curvature Kähler manifolds

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Greatest lower bounds on the Ricci curvature of Fano manifolds

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Three dimensional manifolds, Kleinian groups and hyperbolic geometry

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On Kähler-Einstein metrics on certain Kähler manifolds with \(C_ 1(M)>0\)

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On Calabi's conjecture for complex surfaces with positive first Chern class

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On a set of polarized Kähler metrics on algebraic manifolds

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ON STABILITY OF THE TANGENT BUNDLES OF FANO VARIETIES

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The K-energy on hypersurfaces and stability

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Kähler-Einstein metrics with positive scalar curvature

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Complete Kahler Manifolds with Zero Ricci Curvature. I

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Complete Kähler manifolds with zero Ricci curvature. II

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Uniqueness of \(\mathbb{CP}^n\)

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On the existence of hermitian-yang-mills connections in stable vector bundles

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ON THE CHERN NUMBERS OF CERTAIN COMPLEX AND ALMOST COMPLEX MANIFOLDS

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Kähler--Ricci solitons on toric manifolds with positive first Chern class

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Differential Analysis on Complex Manifolds

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Calabi's conjecture and some new results in algebraic geometry

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On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I

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Identifiers

zbMATH Open document ID

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10.1515/coma-2017-0014

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:680314

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