Results 11 to 20 of about 2,953 (146)

Variation of singular Kähler-Einstein metrics: positive Kodaira dimension

, 2021
International audienceGiven a Kähler fiber space p:X→Y whose generic fiber is of general type, we prove that the fiberwise singular Kähler-Einstein metric induces a semipositively curved metric on the relative canonical bundle K_{X/Y} of p.
Guenancia, Henri, Cao, Junyan, Păun, Mihai   +2 more
core   +1 more source

Uniqueness of Kähler-Einstein cone metrics [PDF]

, 2000
The purpose of this paper is to describe a method to construct a Kähler metric with cone singularity along a divisor and to illustrate a type of maximum principle for these incomplete metrics by showing that Kähler-Einstein metrics are unique in ...
T. D. Jeffres, Jeffres, Thalia D.
core   +1 more source

Higher regularity for singular Kähler-Einstein metrics

, 2022
We study singular Kähler-Einstein metrics that are obtained as non-collapsed limits of polarized Kähler-Einstein manifolds. Our main result is that if the metric tangent cone at a point is locally isomorphic to the germ of the singularity, then the ...
Chiu, Shih-Kai, Székelyhidi, Gábor
core   +1 more source

Orbifold Kähler–Einstein metrics on projective toric varieties

, 2023
In this short note, we investigate the existence of orbifold Kähler–Einstein metrics on toric varieties. In particular, we show that every -factorial normal projective toric variety allows an orbifold Kähler–Einstein metric.
Braun, Lukas, Lukas Braun
core   +1 more source

Conformally Kähler, Einstein-Maxwell metrics on Hirzebruch surfaces.

, 2021
In this note, we prove that a special family of Killing potentials on certain Hirzebruch complex surfaces, found by Futaki and Ono [18], gives rise to new conformally Kähler, Einstein–Maxwell metrics. The correspondent Kähler metrics are ambitoric [7, 9]
Souza, Isaque Viza de
core   +1 more source

Kähler-Einstein Fano threefolds of degree 22 [PDF]

, 2023
We study the problem of existence of Kähler–Einstein metrics on smooth Fano threefolds of Picard rank one and anticanonical degree 22 that admit a faithful action of the multiplicative group C ∗.
Ivan Cheltsov, Constantin Shramov, Shramov, Constantin, Cheltsov, Ivan   +3 more
core   +1 more source

A New Proof of a Conjecture on Nonpositive Ricci Curved Compact Kähler–Einstein Surfaces

Mathematics, 2018
In an earlier paper, we gave a proof of the conjecture of the pinching of the bisectional curvature mentioned in those two papers of Hong et al. of 1988 and 2011. Moreover, we proved that any compact Kähler–Einstein surface M is a quotient of the complex
Zhuang-Dan Daniel Guan
doaj   +1 more source

Singularities of plane complex curves and limits of Kähler metrics with cone singularities. I: Tangent Cones

Complex Manifolds, 2017
The goal of this article is to provide a construction and classification, in the case of two complex dimensions, of the possible tangent cones at points of limit spaces of non-collapsed sequences of Kähler-Einstein metrics with cone singularities.
Borbon Martin de
doaj   +1 more source

Type I Almost-Homogeneous Manifolds of Cohomogeneity One—IV

Axioms, 2018
This paper is one of a series in which we generalize our earlier results on the equivalence of existence of Calabi extremal metrics to the geodesic stability for any type I compact complex almost homogeneous manifolds of cohomogeneity one. In this paper,
Zhuang-Dan Daniel Guan, Pilar Orellana, Anthony Van   +2 more
doaj   +1 more source

Existence of Generalized Maxwell–Einstein Metrics on Completions of Certain Line Bundles

Mathematics
In Kähler geometry, Calabi extremal metrics serves as a class of more available special metrics than Kähler metrics with constant scalar curvatures, as a generalization of Kähler Einstein metrics. In recent years, Maxwell–Einstein metrics (or conformally
Jing Chen, Daniel Guan
doaj   +1 more source