Results 21 to 30 of about 181 (31)
On the Moser-Trudinger inequality in complex space
, 2018 In this paper we prove the pluricomplex counterpart of the Moser-Trudinger and Sobolev inequalities in complex space. We consider these inequalities for plurisubharmonic functions with finite pluricomplex energy, and we estimate the concerned ...
Ahag, Per, Czyz, Rafal
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On the construction of Nadel multiplier ideal sheaves and the limiting behavior of the Ricci flow
, 2007 In this note we construct Nadel multiplier ideal sheaves using the Ricci flow on Fano manifolds. This extends a result of Phong, Sesum and Sturm. These sheaves, like their counterparts constructed by Nadel for the continuity method, can be used to obtain
Rubinstein, Yanir A.
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Stability and Hermitian-Einstein metrics for vector bundles on framed manifolds
, 2012 We adapt the notions of stability of holomorphic vector bundles in the sense of Mumford-Takemoto and Hermitian-Einstein metrics in holomorphic vector bundles for canonically polarized framed manifolds, i.e.
Biquard O. +10 more
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On the classification of Kahler-Ricci solitons on Gorenstein del Pezzo surfaces
, 2018 We give a classification of all pairs (X,v) of Gorenstein del Pezzo surfaces X and vector fields v which are K-stable in the sense of Berman-Nystrom and therefore are expected to admit a Kahler-Ricci solition.
AI Barvinok +11 more
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K-Stability for Fano Manifolds with Torus Action of Complexity One
, 2015 We consider Fano manifolds admitting an algebraic torus action with general orbit of codimension one. Using a recent result of Datar and Szekelyhidi, we effectively determine the existence of Kahler-Ricci solitons for those manifolds via the notion of ...
Ilten, Nathan, Süß, Hendrik
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Tits buildings and K-stability
, 2018 A polarized variety is K-stable if, for any test configuration, the Donaldson-Futaki invariant is positive. In this paper, inspired by classical geometric invariant theory, we describe the space of test configurations as a limit of a direct system of ...
Codogni, Giulio
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Open problems in pluripotential theory
, 2015 We propose a list of open problems in pluripotential theory partially motivated by their applications to complex differential geometry. The list includes both local questions as well as issues related to the compact complex manifold setting.Comment: 27 ...
Dinew, Slawomir +2 more
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Deformation Finiteness for Real Hyperkahler Manifolds
, 2006 We show that the number of equivariant deformation classes of real structures in a given deformation class of compact hyperkahler manifolds is finite.Comment: 6 ...
Degtyarev, Alex +2 more
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Worst Singularities of Plane Curves of Given Degree. [PDF]
J Geom Anal, 2017 Cheltsov I.
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Affine compact almost-homogeneous manifolds of cohomogeneity one
Open Mathematics, 2009 Guan Daniel
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