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ANALYTIC CYCLES,BOTT-CHERN FORMS,AND SINGULAR SETS FOR THE YANG-MILLS FLOW ON KAHLER MANIFOLDS
BOTT-CHERN FORMS SINGULAR SETS YANG-MILLS FLOW KAHLER MANIFOLDS
2015/12/17
It is shown that the singular set for the Yang-Mills flow on unstable holomorphic vector bundles over compact K¨ahler manifolds is completely determined by the Harder-NarasimhanSeshadri filtration of ...
Singular equivalences induced by homological epimorphisms
singularity category triangle equivalence homological epimorphism non-Gorenstein algebra
2011/9/23
Abstract: We prove that a certain homological epimorphism between two algebras induces a triangle equivalence between their singularity categories. Applying the result to a construction of matrix alge...
At which points exactly has Lebesgue's singular function the derivative zero ?
Takagi’s function Lebesgue’s singular function Nowhere-differentiable function
2011/2/28
Let La(x) be Lebesgue’s singular function with a real parameter a (0 < a < 1, a 6= 1/2). As is well known, La(x) is strictly increasing and has a derivative equal to zero almost everywhere.
A Note on Singular Moduli Spaces of Sheaves on K3 Surfaces
Singular Moduli Spaces K3 Surfaces
2010/11/24
This paper studies deformations and birational maps between singular moduli spaces of semistable sheaves with 2-divisible Mukai vectors on K3 surfaces. It is showed that under certain conditions, two...
On spectral properties of the fourth order differential operator with singular coefficients
spectral properties differential operator singular coefficients
2010/11/22
A formal fourth order differential operator with a singular coefficient that is a linear combination of the Dirac delta-function and its derivatives is considered. The asymptotic behavior of spectra ...
Singular spectral shift and Pushnitski $\mu$-invariant
Singular spectral shift Pushnitski $\mu$-invariant
2010/12/8
In this paper it is shown that in case of trace class perturbations the singular part of Pushnitski μ -invariant does not depend on the angle variable. This gives an alternative proof of integer-value...
Singular braids are isotopy classes of smooth strings which are allowed to cross each other pairwise with distinct tangents. Under the usual multiplication of braids, they form a monoid. The singular ...
Strongly Singular Integral Operators On Weighted Hardy Space
Strongly singular Calder\'{o}n--Zygmund operatorsStrongly singular Calder\'{o}n--Zygmund operators Hardy spaces $A_p$ weight
2007/12/12
In this paper, we obtain that a strongly singular integral operator is bounded on $L^p_w$ space for $1infty$. We also obtain that a strongly singular integral operator is a bounded operator from $...
New estimates are provided for singular values of a matrix in this paper. These results generalize and improve corresponding estimates for singular values in [4]-[6].
Global-in-time Uniform Convergence for Linear Hyperbolic-Parabolic Singular Perturbations
Parabolic equations Damped hyperbolic equations Singular perturbations
2007/12/12
We consider the Cauchy problem ${\varepsilon}{u_{\ep}}''+\delta{u_{\ep}}'+A{u_{\varepsilon}}=0,$ ${u_{\varepsilon}}(0)=u_0, $ ${u_{\varepsilon}}'(0)=u_{1},$ where ${\varepsilon}>0$, $\delta>0$, $H$ is...
Positive Solutions to Singular Boundary Value Problems with Sign Changing Nonlinearities on the Half-Line via Upper and Lower Solutions
boundary value problems lower and upper solutions Schauder's fixed point theorem
2007/12/11
This paper presents a lower and upper solution technique for singular second order boundary value problems on the half line.
POSITIVE SOLUTIONS OF SINGULAR SUBLINEAR SECOND ORDER BOUNDARY VALUE PROBLEMS
Singular sublinear boundary value proble
2007/8/7
This paper mainly studies the existence of positive solutions of singular sub-linear boundary value problems concerning the generalized Emden-Fowler equations. A necessary and sufficient condition for...
POSITIVE SOLUTIONS FOR DIRICHLET PROBLEMS OF SINGULAR SEMILINEAR ELLIPTIC EQUATIONS
Singular semilinear elliptic equation D
2007/8/7
This paper studies the existence of solutions of the following problem: where Ω is a bounded domain in Rn with smooth boundary, L is a second order uniformly elliptic linear operator, and f(x, u ε) is...
UNIQUENESS OF THE POSITIVE SOLUTION FOR SINGULAR NONLINEAR BOUNDARY VALUE PROBLEMS
Uniqueness singular boundary value probl
2007/8/7
1 are some given constants.
Certain Rings Whose Simple Singular Modules Are nil-injective
Left minimal elements Left min-abel rings Strongly left min-abel rings Left MC2 rings Simple singular modules Left nil- injective modules
2010/2/25
In this paper, we first study some characterizations of left min-abel ring, strongly left min-abel ring and left MC2 ring. Next, we discuss and generalize some well known results for a ring whose simp...
