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Showing 1 to 20 of 358 for “"Singularities"”.
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Noncommutative Complete Isolated Singularities
Commutative local isolated singularities are a class of rings that have been studied extensively. Much work has been devoted in the area of noncommutative algebra in generalizing the notion of an isolated singularity for graded rings. However, one maintains a desire to directly adapt the notion of …
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Branes, graphs and singularities
In this thesis, we study various aspects of string theory on geometric and nongeometric backgrounds in the presence of branes. In the first part of the thesis, we study non-compact geometries. We introduce "brane tilings" which efficiently encode the gauge group, matter content and superpotential …
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Singularities in Free Surface Flows
Free surface flows where the shape of the interface separating two or more phases or liquids are unknown apriori, are commonplace in industrial applications and nature. Distribution of drop sizes, coalescence rate of drops, and the behavior of thin liquid films are crucial to understanding and …
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Point Singularities in Linear Elasticity
Made available in DSpace on 2014-12-12T00:25:50Z (GMT). No. of bitstreams: 1 7310033.pdf: 661275 bytes, checksum: cf097f6a66602e8f99669d6fdb24ef80 (MD5) Previous issue date: 1972
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Quotient-singularities in characteristic p
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1980.
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Defining gravitational singularities in general relativity
Singularities have been a long-standing problem in general relativity. In all other fields of physics, singularities can be easily located and avoided; in general relativity, singularities have an impact on the creation of the manifold, but, by definition, are not even part of real spacetime. …
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Singularities of the Perfect Cone Compactification
This thesis analyses the singularities of toroidal compactifications. Motivated by a result of Shepherd-Barron about the first Voronoi compactification of the moduli space of principally polarised abelian varieties, the object taken into consideration consists of the perfect cone (also known as …
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Fractality and topology of optical singularities
Optical singularities are points in complex scalar and vector fields where a property of the field becomes undefined (singular). In complex scalar fields these are phase singularities and in vector fields they are polarisation singularities. In the former the phase of the field is singular and in …
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Yang-Mills connections with isolated singularities
Thesis (Ph.D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2000.
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Dirac operators and monopoles with singularities
… an index theorem for Dirac operators of conic singularities with codimension 2. One immediate corollary is the generalized Rohklin congruence formula. The eta function for a twisted spin Dirac operator on a circle bundle over a even dimensional spin manifold is also derived along the way. In …
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Zero-dimensional schemes: curves, singularities and tensors
L'abstract è presente nell'allegato / the abstract is in the attachment
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Negative Point Mass Singularities in General Relativity
… the gravitational lensing effects of these singularities in isolation and with shear and convergence from continuous matter. We review the Inverse Mean Curvature Flow and use this flow to prove some new results about the mass of a singularity, the ADM mass of the manifold, and the capacity …
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Singularities and multiplier algorithms for real hypersurfaces
We consider Kohn’s method to generate subelliptic multipliers for the ∂¯-Neumann problem. For a domain defined by a real polynomial, we prove that Kohn’s algorithm is effective in terms of the degree. We then give geometric conditions under which effectiveness results in the holomorphic setting …
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Symplectic toric stratified spaces with isolated singularities
… symplectic toric stratified spaces with isolated singularities. Both types of object are classified via orbital moment map and a second degree cohomology class. As symplectic toric stratified spaces with isolated singularities are locally modeled on symplectic toric cones, we first focus on …
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Local complex singularity exponents for isolated singularities
… functions whose zero sets have only isolated singularities. For a given holomorphic function f defined on a neighborhood of the origin in C[to the power of]n, the lcse c[sub]0(f) is defined as the supremum of all positive real number [lambda] for which 1/[magnitude of]f[to the power of][2 …
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K-stability of Log Fano Cone Singularities
… we define the 𝛿-invariant for log Fano cone singularities, and show that the necessary and sufficient condition for K-semistability is 𝛿 ≥ 1. This generalizes the result of C. Li and K. Fujita. We also prove that on any log Fano cone singularity of dimension 𝑛 whose 𝛿-invariant is less than …
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Supersymmetric gauge theories from D3-branes on singularities
In this thesis we study four-dimensional supersymmetric gauge theories and their string theory realization. After an introduction and a brief review of some basic concepts at the interface of gauge theories and string theory, we begin by examining the duality cascade phenomenon for quiver gauge …
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The heat kernel for manifolds with conic singularities
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1996.
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The Laplacian for spaces with cone-like singularities
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1990.
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