Results 131 to 140 of about 2,997,696 (239)

K-polystability of Q-Fano varieties admitting Kahler-Einstein metrics

open access: yes, 2016
It is shown that any, possibly singular, Fano variety X admitting a Kahler-Einstein metric is K-polystable, thus confirming one direction of the Yau-Tian-Donaldson conjecture in the setting of Q-Fano varieties equipped with their anti-canonical ...
Robert J. Berman   +2 more
core   +1 more source

The Fano variety of lines and rationality problem for a cubic hypersurface [PDF]

open access: yes, 2014
We find a relation between a cubic hypersurface Y and its Fano variety of lines F(Y ) in the Grothendieck ring. We use this relation to study the Hodge structure of F(Y). Finally we investigate rationality of smooth cubic hypersurfaces.
Shinder, Evgeny   +3 more
core  

On the classification of rank 2 almost Fano bundles on projective space

open access: yes, 2010
MI: Global COE Program Education-and-Research Hub for Mathematics-for-Industry グローバルCOEプログラム「マス・フォア・インダストリ教育研究拠点」An almost Fano bundle is a vector bundle on a smooth projective variety that its projectivization is an almost Fano variety.
Yasutake, Kazunori, 安武, 和範
core  

On some Fano manifolds of large pseudoindex

open access: yes, 2007
In this paper we classify pairs (X; E) with E ample vector bundle of rank r on a smooth variety X of dimension n = 2r 1 such that KX + detE = OX . 1 Introduction A smooth complex projective variety X is called Fano if the anticanonical divisor KX is ...
Gianluca Occhetta
core  

Reverse H\"older inequalities on the space of K\"ahler metrics of a Fano variety and effective openness

open access: yes
A reverse H\"older inequality is established on the space of K\"ahler metrics in the first Chern class of a Fano manifold X endowed with Darvas L^{p}-Finsler metrics.
Berman, Robert J.
core  

The Mukai conjecture for log Fano manifolds

open access: yesOpen Mathematics, 2014
Fujita Kento
doaj   +1 more source

A note on Fano surfaces of nodal cubic threefolds

open access: yes, 2010
We study the Picard variety of the Fano surface of nodal and mildly cuspidal cubic threefolds in arbitrary characteristic by relating divisors on the Fano surface to divisors on the symmetric product of a curve of genus ...
van der Geer, G.B.M., Kouvidakis, A.
core  

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