Results 11 to 20 of about 2,141 (121)
K\"ahler immersions of K\"ahler manifolds into complex space forms [PDF]
, 2017 The study of K\"ahler immersions of a given real analytic K\"ahler manifold into a finite or infinite dimensional complex space form originates from the pioneering work of Eugenio Calabi [10].
Loi, Andrea, Zedda, Michela
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Kähler-Einstein metrics: Old and New
Complex Manifolds, 2017 We present classical and recent results on Kähler-Einstein metrics on compact complex manifolds, focusing on existence, obstructions and relations to algebraic geometric notions of stability (K-stability).
Angella Daniele, Spotti Cristiano
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Real Monge-Ampere equations and Kahler-Ricci solitons on toric log Fano varieties [PDF]
, 2012 We show, using a direct variational approach, that the second boundary value problem for the Monge-Amp\`ere equation in R^n with exponential non-linearity and target a convex body P is solvable iff 0 is the barycenter of P.
Berman, Robert J., Berndtsson, Bo
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Alpha-invariant of Toric Line Bundles [PDF]
, 2015 We generalize the work of Jian Song to compute the alpha invariant of any (nef and big) toric line bundle in terms of the associated polytope. We use the analytic version of the computation of the log canonical threshold of monomial ideals to give the ...
Delcroix, Thibaut
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The Weil-Petersson current for moduli of vector bundles and applications to orbifolds [PDF]
, 2016 We investigate stable holomorphic vector bundles on a compact complex K\"ahler manifold and more generally on an orbifold that is equipped with a K\"ahler structure.
Biswas, Indranil, Schumacher, Georg
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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
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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
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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 +2 more
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Existence of Generalized Maxwell–Einstein Metrics on Completions of Certain Line Bundles
MathematicsIn 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
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Strict positivity of Kähler–Einstein currents
Forum of Mathematics, SigmaKähler–Einstein currents, also known as singular Kähler–Einstein metrics, have been introduced and constructed a little over a decade ago. These currents live on mildly singular compact Kähler spaces X and their two defining properties are the following:
Vincent Guedj +2 more
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