Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 18 of 18 for “"Homogeneous Spaces"”.
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Line Bundles on Projective Homogeneous Spaces
… topic of my thesis is the geometry of projective homogeneous spaces G/H for a semisimple algebraic group G in characteristic p $>$ 0, where H is a subgroup scheme containing a Borel subgroup B. In characteristic p $>$ 0 there are an infinite number of subgroup schemes containing B--the reduced …
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Equivariant cohomology, homogeneous spaces and graphs
… herein, we apply the GKM theory to the case of homogeneous spaces by studying the combinatorics of their associated graphs. We exploit this theory to understand the geometry of homogeneous spaces with non-zero Euler characteristic.
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Lorentzian Poisson homogeneous spaces, quantum groups and noncommutative spacetimes
El objetivo de esta Tesis Doctoral es el estudio de ciertas deformaciones cuánticas de los grupos cinemáticos Lorentzianos (Poincaré y (anti-)de Sitter), sus espacios homogéneos cuánticos asociados, y algunas de sus consecuencias físicas. En particular, se construye el espacio no conmutativo de …
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Dynamics on homogeneous spaces and applications to simultaneous diophantine approximation
We give some new results about diophantine simultaneous inequalities involving one quadratic form and one linear generalising the Oppenheim conjecture. In the first part we compute an exact lower asymptotic estimate of the number of integral values taken by such pairs, by using uniform distribution …
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Homogeneous spaces with the cohomology of sphere products and compact quadrangles
We consider homogeneous spaces G/H with the same rational homotopy as a product of a 1-sphere and a (m+1)-sphere. We show that these spaces have also the rational cohomology of such a sphere product if H is connected and if the quotient has dimension m+2. Furthermore, we prove that if additionally …
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A look at T1 and Tb theorems on non-homogeneous spaces through time-frequency analysis
… and trees is used to prove T1 theorem on non-homogeneous spaces. This provides an alternative and a more visualized point of view to some parts of the proof. We also verify estimates from $L^p\times L^q$ to $L^r$ for the paraproducts appeared in T1 theorem. Although the paraproduct is …
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Discrete Littlewood-Paley-Stein Theory And Wolff Potentials On Homogeneous Spaces And Multi-Parameter Hardy Spaces
… decomposition of the multi-parameter Hardy spaces of homogeneous type and obtain the associated $H^p-L^p$ and $H^p-H^p$ boundedness criterions for singular integral operators. On the other hand, we compare the Wolff and Riesz potentials on spaces of homogenous type, followed by a …
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Effective multiple mixing in Weyl chamber actions
… products of semisimple groups with $G$-vector spaces. Using these estimates we get decay for corresponding actions in some semisimple groups of higher rank and homogeneous spaces of semidirect products of real algebraic groups.
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Invariant Differential Positivity
… dynamical systems on Lie groups and homogeneous spaces. In a linear space, monotonicity refers to the property of a system that preserves an ordering of the elements of the space. Monotone systems have been studied in detail and are of great interest for their numerous applications, …
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On affine embeddings of reductive groups
… and the classification of embeddings of homogeneous spaces, especially the case of affine normal embeddings of reductive groups. We might guess that as in the case of toric varieties, some specific subset of one-parameter subgroups may contribute to the classification of affine embeddings …
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Birational geometry of the space of rational curves in homogeneous varieties
… of the space of rational curves in various homogeneous spaces, with a focus on the quasi-map compactification induced by the Quot and Hyperquot functors. We first study the birational geometry of the Quot scheme of sheaves on P1 via techniques from the Mori program, explicitly describing its …
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Homomorphisms of semi-holonomic verma modules : an exceptional case.
… part in the theory of invariant operators on homogeneous spaces. If G is a semisimple Lie group and P a parabolic subgroup of G, then there is often a differential geometry for which the homogeneous space G/P represents the flat model. An example is conformal geometry, where G is the special …
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Witt groups of complex varieties
… This result applies in particular to projective homogeneous spaces. By extending known computations in topology, we obtain an additive description of the Witt groups of all projective homogeneous varieties that fall within the class of hermitian symmetric spaces.
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Isoparametric hypersurfaces with a homogeneous focal manifold
… of isoparametric hypersurfaces in spheres with a homogeneous focal manifold is a project that has been started by Linus Kramer. It extends results by E. Cartan and Hsiang and Lawson. Kramer does most part of this classification in his Habilitationsschrift. In particular he obtains a classification …
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Log geometry and extremal contractions
… proposed by the MMP. These are called Mori fibre spaces. A Mori fibre space is a variety X with log canonical singularities together with a morphism f : X --> Y such that the general fiber of f is a positive dimensional Fano variety and the monodromy of f is as large as possible. We show that …
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Rare events and dynamics in non-equilibrium systems
… we consider systems with configuration spaces that are either Lie groups, or homogeneous spaces. We demonstrate that this theory, which we call a generalised geometric Cosserat theory (GGCT), can be seen as a unifying framework with which to study classical Cosserat systems, and numerous …
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Holomorphic flexibility properties of complements and mapping spaces.
… Oka manifolds are complex Lie groups and their homogeneous spaces (which are also elliptic); the complement in Pn of an algebraic subvariety of codimension at least 2; Hirzebruch surfaces; and more generally any fibre bundle whose base and fibre are Oka. The Oka property can be thought of as a …