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Geometry of twisted Kähler-Einstein metrics and collapsing (Q2216776)

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Language	Label	Description	Also known as
English	Geometry of twisted Kähler-Einstein metrics and collapsing	scientific article

Statements

scholarly article

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Geometry of twisted Kähler-Einstein metrics and collapsing (English)

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Valentino Tosatti

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Communications in Mathematical Physics

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publication date

17 December 2020

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full work available at URL

https://arxiv.org/abs/1911.07315

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MaRDI profile type

MaRDI publication profile

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Développement asymptotique des fonctions obtenues par intégration sur les fibres

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

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Tropical and non-Archimedean limits of degenerating families of volume forms

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Ricci Flat Kähler Metrics with Edge Singularities

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Metrics with cone singularities along normal crossing divisors and holomorphic tensor fields

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Degeneration of Hodge structures

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Igusa integrals and volume asymptotics in analytic and adelic geometry

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Extension of plurisubharmonic functions with growth control

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Adiabatic limits of anti-self-dual connections on collapsed \(K3\) surfaces

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A remark on Kähler metrics with conical singularities along a simple normal crossing divisor

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Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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Singularities of metrics on Hodge bundles and their topological invariants

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Singular Kähler-Einstein metrics

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Convergence of weak Kähler-Ricci flows on minimal models of positive Kodaira dimension

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Fibrations with constant scalar curvature Kähler metrics and the CM-line bundle

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The collapsing rate of the Kähler-Ricci flow with regular infinite time singularity

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Special Kähler manifolds

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Geometric estimates for complex Monge-Ampère equations

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On Kähler fiber spaces over curves

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Plurisubharmonische Funktionen in komplexen Räumen

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Topics in Transcendental Algebraic Geometry. (AM-106)

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Locally homogeneous complex manifolds

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Collapsing of abelian fibered Calabi-Yau manifolds

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Gromov-Hausdorff collapsing of Calabi-Yau manifolds

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Large complex structure limits of \(K3\) surfaces

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Conic singularities metrics with prescribed Ricci curvature: general cone angles along normal crossing divisors

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Gravitational instantons from rational elliptic surfaces

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Remarks on the collapsing of torus fibered Calabi–Yau manifolds

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Higher-order estimates for collapsing Calabi-Yau metrics

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The moduli space of special Lagrangian submanifolds

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The moduli space of complex Lagrangian submanifolds

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Products of harmonic forms and rational curves

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Kähler-Einstein metrics with edge singularities

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The asymptotic behavior of a variation of polarized Hodge structure

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Toroidal embeddings. I

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The complex Monge-Ampère equation

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Monge-Ampere equation on compact Kahler manifolds

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On the Picard-Lefschetz Transformation for Algebraic Manifolds Acquiring General Singularities

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On collapsing Calabi-Yau fibrations

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A gluing construction of collapsing Calabi-Yau metrics on \(K3\) fibred 3-folds

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Deformations of calibrated submanifolds

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Hodge metrics and positivity of direct images

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Hodge metrics and the curvature of higher direct images

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Extension of twisted Hodge metrics for Kähler morphisms

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Collapsing \(K3\) surfaces and moduli compactification

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On the singularities of the pluricomplex Green's function

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Continuity of extremal transitions and flops for Calabi-Yau manifolds

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Convergence of Calabi-Yau manifolds

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Smooth and Singular Kähler–Einstein Metrics

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Variation of Hodge structure: The singularities of the period mapping

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On fiber products of rational elliptic surfaces with section

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The Kähler-Ricci flow on surfaces of positive Kodaira dimension

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Canonical measures and Kähler-Ricci flow

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Bounding scalar curvature for global solutions of the Kähler-Ricci flow

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Limits of Hodge structures

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Twisted constant scalar curvature Kähler metrics and Kähler slope stability

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A filling-in problem and moderate degenerations of minimal algebraic varieties

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Asymptotic expansions of fiber integrals over higher-dimensional bases

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Functorial desingularization over \(\mathbb Q\): boundaries and the embedded case

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Some progresses on Kähler-Ricci flow

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Limits of Calabi-Yau metrics when the Kähler class degenerates

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Adiabatic limits of Ricci-flat Kähler metrics

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Families of Calabi–Yau Manifolds and Canonical Singularities

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KAWA lecture notes on the K\"ahler-Ricci flow

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The Kähler-Ricci flow, Ricci-flat metrics and collapsing limits

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Triviality of fibered Calabi-Yau manifolds without singular fibers

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Infinite-time singularities of the Kähler-Ricci flow

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Collapsing hyperkähler manifolds

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Existence and degeneration of Kähler-Einstein metrics on minimal algebraic varieties of general ype

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On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds

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Quasi-Hodge metrics and canonical singularities.

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Sectional curvatures of Kähler moduli

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

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A General Schwarz Lemma for Kahler Manifolds

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Collapsing limits of the Kähler-Ricci flow and the continuity method

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Identifiers

zbMATH Open document ID

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10.1007/s00220-020-03911-0

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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:2216776

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