6 citations · 11 across the 10 of their papers we have counts for
12 papers
Remarks on a result of Chen-Cheng
Zhiqin Lu, Reza Seyyedali
In their seminal work (\cite{CC}, \cite{CC2}), Chen and Cheng proved apriori estimates for the constant scalar curvature metrics on compact Kähler manifolds. They also prove $C^{3,…
On compactness of Kähler metrics with bounded entropy and bounded scalar curvature
Reza Seyyedali
In their seminal work (\cite{CC}, \cite{CC2}), Chen and Cheng proved apriori estimates for the constant scalar curvature metrics on compact Kähler manifolds. They also proved $C^{3…
Extremal metrics on blowups along submanifolds
Reza Seyyedali, Gábor Székelyhidi
We give conditions under which the blowup of an extremal Kähler manifold along a submanifold of codimension greater than two admits an extremal metric. This generalizes work of Are…
Relative Chow stability and extremal metrics
Reza Seyyedali
We prove that the existence of extremal metrics implies asymptotically relative Chow stability. An application of this is the uniqueness, up to automorphisms, of extremal metrics i…
Quantization of the Laplacian operator on vector bundles I
Julien Keller, Julien Meyer, Reza Seyyedali
Let be a holomorphic Hermitian vector bundle over a polarized manifold. We provide a canonical quantization of the Laplacian operator acting on sections of the bundle of He…
A Kobayashi-Hitchin correspondence for -holomorphic bundles
Shengda Hu, Ruxandra Moraru, Reza Seyyedali
In this paper, we introduce the notions of -Hermitian-Einstein metric and -stability for -holomorphic vector bundles on bi-Hermitian manifolds. Moreover, we establish…
Quantization of Donaldson's heat flow over projective manifolds
Julien Keller, Reza Seyyedali
Consider a holomorphic vector bundle over a projective manifold polarized by an ample line bundle . Fix large enough, the holomorphic sections pr…
Extremal Metrics On Ruled Manifolds
Zhiqin Lu, Reza Seyyedali
In this paper, we consider a compact Kahler manifold with extremal Kahler metric and a Mumford stable holomorphic bundle over it. We proved that, if the holomorphic vector field de…
Balanced Metrics and Chow Stability of Projective Bundles over Kähler Manifolds II
Reza Seyyedali
In the previous article (\cite{S}), we proved that slope stability of a holomorphic vector bundle over a polarized manifold implies Chow stability of $(\mathbb{P}E^*,\m…
Balanced metrics and chow stability of projective bundles over Riemann surfaces
Reza Seyyedali
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 respe…
Balanced Metrics and Chow Stability of Projective Bundles over Kähler Manifolds
Reza Seyyedali
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 respe…
Numerical Algorithms for Finding Balanced Metrics on Vector Bundles
Reza Seyyedali
In \cite{D3}, Donaldson defines a dynamical system on the space of Fubini-Study metrics on a polarized compact Kähler manifold. Sano proved that if there exists a balanced metric f…