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Stability of extremal metrics under complex deformations
extremal metrics complex deformations Differential Geometry
2011/8/24
Abstract: Let $(\mathcal {X},\Omega)$ be a closed polarized complex manifold, $g$ be an extremal metric on $\mathcal X$ that represents the K\"ahler class $\Omega$, and $G$ be a compact connected subg...
Scalar curvature and asymptotic Chow stability of projective bundles and blowups
Scalar curvature asymptotic Chow stability projective bundles blowups
2010/12/14
The holomorphic invariants introduced by Futaki as obstruction to the asymptotic Chow semistability are studied by an algebraic-geometric point of view and are shown to be the
Mumford weights of suit...
Balanced metrics and chow stability of projective bundles over Riemann surfaces
Balanced metrics chow stability of projective bundles Riemann surfaces
2010/12/15
In 1980, I. Morrison proved that slope stability of a vector bundle of rank 2 over a compact Riemann surface implies Chow stability of the projectivization of the bundle with respect to certain polari...
An object in the bounded derived category Db(X) of coherent sheaves on a complex projective K3 surface X is spherical if it is rigid and simple. Although spherical objects form only a discrete set in ...
On the Stability Results for Third Order Differential-Operator Equations
Differential-Operator Equations Stability Global asymptotic stabilty
2010/3/5
Sufficient conditions for the stability and the global asymptotic stability of the zero solution of third order linear differential- operator equations are established.