Results 21 to 30 of about 201 (51)

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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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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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, G Tian, H Süß, J Hausen, K Altmann, L Petersen, N Ilten, R Hartshorne, SK Donaldson, V Datar, Y Odaka, Y Shi   +11 more
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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., Donaldson S. K., Donaldson S. K., Hörmander L., Kobayashi R., Kobayashi S., Lübke M., MATTHIAS STEMMLER, Ni L., Schmitt A., Schumacher G.   +10 more
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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, Guedj, Vincent, Zeriahi, Ahmed   +2 more
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Positivity of relative canonical bundles and applications

, 2012
Given a family $f:\mathcal X \to S$ of canonically polarized manifolds, the unique K\"ahler-Einstein metrics on the fibers induce a hermitian metric on the relative canonical bundle $\mathcal K_{\mathcal X/S}$.
A. Fujiki, A.J. Tromba, B. Berndtsson, B. Berndtsson, B. Shiffman, Ch. Mourougane, E. Bedulev, E. Viehweg, E. Viehweg, E. Viehweg, E. Viehweg, E. Viehweg, E. Viehweg, E. Viehweg, G. Schumacher, G. Schumacher, G. Schumacher, G. Schumacher, Georg Schumacher, H. Grauert, H. Grauert, J. Cheeger, J. Kollár, J. Kollár, J. Kollár, J. Varouchas, J.-M. Bismut, J.-M. Bismut, J.-M. Bismut, J.P. Demailly, K. Liu, K. Yosida, K.-I. Yoshikawa, K.Th. Sturm, L. Migliorini, M. Abate, M. Artin, O. Forster, R. Kobayashi, S. Boucksom, S. Kebekus, S. Kovács, S. Kovács, S. Kovács, S. Wolpert, S.T. Yau, S.Y. Cheng, Sh. Kobayashi, T. Aubin, Y.-T. Siu, Y.-T. Siu, Y.-T. Siu   +51 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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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, Itenberg, Ilia, Kharlamov, Viatcheslav   +2 more
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Deformations of Killing spinors on Sasakian and 3-Sasakian manifolds [PDF]

, 2015
We consider some natural infinitesimal Einstein deformations on Sasakian and 3-Sasakian manifolds. Some of these are infinitesimal deformations of Killing spinors and further some integrate to actual Killing spinor deformations.
van Coevering, Craig
core  

Worst Singularities of Plane Curves of Given Degree. [PDF]

J Geom Anal, 2017
Cheltsov I.
europepmc   +1 more source