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A GENERALIZED QUOT SCHEME AND MEROMORPHIC VORTICES
Generalized Quot scheme meromorphic vortices moduli space Poincar′e polynomial
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2015/12/17
Let X be a compact connected Riemann surface. Fix a positive integer r and two nonnegative integers dp and dz. Consider all pairs of the form (F , f), where F is a holomorphic vector bundle on X of ra...
Generalized Hyperspaces and Non-Metrizable Fractals
Generalized Hyperspaces Non-Metrizable Fractals
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2010/11/23
Much of the structure in metric spaces that allows for the creation of fractals exists in more generalized non-metrizable spaces. In particular the same theorems regarding the behavior of compact set...
Generalized conditional symmetries of evolution equations
evolution equations math
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2010/11/8
We analyze the relationship of generalized conditional symmetries of evolution equations to the formal compatibility and passivity of systems of differential equations as well as to systems of vector ...
Generalized $1$-harmonic Equation and The Inverse Mean Curvature Flow
Generalized $1$-harmonic Equation The Inverse Mean Curvature Flow
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2010/11/19
We introduce and study generalized $1$-harmonic equations (1.1). Using some ideas and techniques in studying $1$-harmonic functions from [W1] (2007), and in studying nonhomogeneous $1$-harmonic funct...
The Generalized Schur Decomposition and the rank-$R$ set of real $I\times J\times 2$ arrays
The Generalized Schur Decomposition the rank-$R$ set
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2010/11/22
It is known that a best low-rank approximation to multi-way arrays or higher-order tensors may not exist. This is due to the fact that the set of multi-way arrays with rank at most $R$ is not closed....
On Orthogonal Generalized Derivations of Semiprime Rings
derivation orthogonal derivations generalized derivation orthogonal generalizedderivations prime ring semiprime ring
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2010/2/26
In this paper, we present some results concerning two generalized derivations on a semiprime ring. These results are a generalization of results of M. Bre\u{s}ar and J. Vukman in [2], which are relate...
Twist deformations for generalized Heisenberg algebras
Twist deformations generalized Heisenberg algebras
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2010/11/1
Multidimensional Heisenberg algebras, whose creation and annihilation operators are the N-dimensional vectors, can be injected into simple Lie algebras g. It is demonstrated that the spectrum of thei...