Results 11 to 20 of about 181 (31)

Balanced metrics and noncommutative Kaehler geometry [PDF]

, 2010
In this paper we show how Einstein metrics are naturally described using the quantization of the algebra of functions on a Kahler manifold M. In this setup one interprets M as the phase space itself, equipped with the Poisson brackets inherited from the ...
Lukic, Sergio
core   +5 more sources

Kahler-Einstein metrics on symmetric Fano T-varieties [PDF]

, 2013
We relate the global log canonical threshold of a variety with torus action to the global log canonical threshold of its quotient. We apply this to certain Fano varieties and use Tian's criterion to prove the existence of Kahler-Einstein metrics on them.
Suess, Hendrik, Süß, Hendrik
core   +2 more sources

On the Critical Points of the E_k Functionals in Kahler Geometry

, 2006
We prove that a Kahler metric in the anticanonical class which is a critical point of the functional E_k and has nonnegative Ricci curvature, is necessarily Kahler-Einstein.
Tosatti, Valentino
core   +1 more source

A characterization of varieties whose universal cover is a bounded symmetric domain without ball factors [PDF]

, 2014
We give two characterizations of varieties whose universal cover is a bounded symmetric domain without ball factors in terms of the existence of a holomorphic endomorphism $s$ of the tensor product $T\otimes T'$ of the tangent bundle $T$ with the ...
Antonio J. Di Scala, Aubin, Berger, Bogomolov, Borel, Catanese, Catanese, Console, Fabrizio Catanese, Helgason, Kazhdan, Kobayashi, Kobayashi, Kobayashi, Kobayashi, Kodaira, Mok, Mok, Olmos, Siegel, Siegel, Viehweg, Yau, Yau, Yau   +24 more
core   +2 more sources

Stability of Sasaki-extremal metrics under complex deformations [PDF]

, 2012
We consider the stability of Sasaki-extremal metrics under deformations of the complex structure on the Reeb foliation. Given such a deformation preserving the action of a compact subgroup of the automorphism group of a Sasaki-extremal structure, a ...
Besse, Boyer, Boyer, Boyer, Boyer, Boyer, Calabi, Calabi, Chen, Craig van Coevering, de Moraes, El Kacimi Alaoui, El Kacimi-Alaoui, El Kacimi-Alaoui, Futaki, Futaki, Futaki, Girbau, Griffiths, LeBrun, LeBrun, Martelli, Nozawa, O'Neill, O'Neill, Rollin, Schoen, Simanca, Simanca, van Coevering, van Coevering, Wang   +31 more
core   +3 more sources

On the rigidity of ℂℙ2n × ℂℙ1

Complex Manifolds
We revisit Koiso’s original examples of rigid infinitesimally deformable Einstein metrics. We show how to compute Koiso’s obstruction to the integrability of the infinitesimal deformations on CP2n×CP1{{\mathbb{CP}}}^{2n}\times {{\mathbb{CP}}}^{1} using ...
Hall Stuart James
doaj   +1 more source

K-stable smooth Fano threefolds of Picard rank two

Forum of Mathematics, Sigma
We prove that all smooth Fano threefolds in the families and are K-stable, and we also prove that smooth Fano threefolds in the family that satisfy one very explicit generality condition are K-stable.
Ivan Cheltsov, Elena Denisova, Kento Fujita   +2 more
doaj   +1 more source

Colored HOMFLY-PT polynomials that distinguish mutant knots

, 2017
We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY-PT polynomials with multiplicity structure can detect mutations.
Nawata, S., Ramadevi, P., Singh, V.
core   +1 more source

Adler-Bell-Jackiw anomaly in Weyl semi-metals: Application to Pyrochlore Iridates

, 2012
Weyl semimetals are three dimensional analogs of graphene where the energy of the excitations are a linear function of their momentum. Pyrochlore Iridates $(A_{2}Ir_{2}O_{7})$ with A =yttrium or lanthanide element) are conjectured to be examples of such ...
G. Volovik, Vivek Aji
core   +1 more source

Strict positivity of Kähler–Einstein currents

Forum of Mathematics, Sigma
Kähler–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, Henri Guenancia, Ahmed Zeriahi   +2 more
doaj   +1 more source