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Showing 1 to 20 of 53 for “"Hypersurfaces"”.
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Singular Hypersurfaces as Stratifolds
In dieser Dissertation wird das Klassifikationsproblem für Hyperflächen in CP^4 mit einer isolierten Singularität als Stratifolds betrachtet. Das wichtigste Hilfsmittel für die Klassifikation ist die modifizierte Surgery-Theorie. Für einfache Singularitäten des Typs A_2k erhält man ein …
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Lines on Fano hypersurfaces
… thesis, the Hilbert scheme of lines on smooth hypersurfaces is studied. The main result is that the Hilbert scheme of lines on any smooth Fano hypersurface of degree d =/< 6 in ... has the expected dimension 2n - d - 3, if k is an algebraically closed field of characteristic zero.
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On special Kähler metrics and hypersurfaces
… we study these special Kähler metrics and hypersurfaces in Kähler Ricci-flat spaces. Particularly, we determine the second fundamental form of the sphere inthe Euclidean sense in Eguchi-Hanson spaces, motivated by constructing constant mean curvature hypersurfaces. We quantify how far these …
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Isoparametric hypersurfaces with a homogeneous focal manifold
The classification 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 …
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Non-collapsing on Hypersurfaces of Prescribed Curvature
… geometric structures and properties of embedded hypersurfaces. Despite of that this technique is used in various settings in geometric analysis, it still has a similar machinery in general. Our first purpose of study concerns the uniqueness of a class of embedded Weingarten hypersurfaces in the …
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Non-collapsing on Hypersurfaces of Prescribed Curvature
… geometric structures and properties of embedded hypersurfaces. Despite of that this technique is used in various settings in geometric analysis, it still has a similar machinery in general. Our first purpose of study concerns the uniqueness of a class of embedded Weingarten hypersurfaces in the …
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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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Towards characterizing morphims between high dimensional hypersurfaces
… zero. Paper 1 concerns morphisms between hypersurfaces in Pn, n =/> 4. We show that if the two hypersurfaces involved in the morphism are of general type, then the morphism of hypersurfaces extends to an everywhere-defined endomorphism of Pn. A corollary is that if X [right arrow] Y is a …
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Computing free energy hypersurfaces for anisotropic intermolecular associations
Adaptive reaction coordinate force biaisng methods have been previously used for calculating the free energy of conformation and chemical reactions amongst others. Here a generalized method is described that is able to produce free energies in multiple dimension, descriptively named the free …
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Restriction to hypersurfaces of non-isotropic Sobolev spaces
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1993.
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On the Structure and Regularity of Stable Branched Minimal Hypersurfaces
We study the structure of large classes of stable codimension one stationary integral varifolds $V$ near higher multiplicity hyperplanes and classical cones, i.e. cones supported on half-hyperplanes which have a common boundary. A key motivation for our work is to understand the local structure of …
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Isometric Immersions and Embeddings of Nonnegatively Curved Hypersurfaces in Hyperbolic Space
Embargo set by: Seth Robbins for item 71390 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDs
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The moduli space of hypersurfaces whose singular locus has high dimension
… closed field. Consider the moduli space X of hypersurfaces in P" of fixed degree I whose singular locus is at least b-dimensional. We prove that for large 1, X has a unique irreducible component of maximal dimension, consisting of the hypersurfaces singular along a linear b-dimensional …
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The Behavior on the Restriction of Divisor Classes to Sequences of Hypersurfaces
Let A be an excellent local normal domain and fninfinity n=1 a sequence of prime elements lying in successively higher powers of the maximal ideal, such that each hypersurface A/ fnA satisfies R1. We establish the map of divisor classes jn*: Cl(A) → Cl((A/fnA)'), where (A/fnA)' represents the …
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Developing methods to construct ring pucker free energy hypersurfaces applied to the analysis of glycosidase enzyme catalytic mechanisms
Carbohydrates consist of one or more sub-units usually various 5- and 6-membered cycles (furanoses and pyranoses) which can twist, bend or flip into a variety of conformers that differ in strain - this is ring puckering. These puckers notably the strained puckering conformers are observed during …
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Fibered Calabi -Yau Varieties and Toric Varieties
… weighted K3-fibered toric Calabi-Yau threefold hypersurfaces over P2 and all 92 of families elliptically fibered toric Calabi-Yau threefold hypersurfaces over P1 .
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Ample subschemes and partially positive line bundles
… second paper studies the birational structure of hypersurfaces in products of projective spaces. These hypersurfaces are in many respects simple varieties, yet they provide many interesting examples of birational geometry phenomena. For example, they may have infinite birational automorphism …
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Classifcation of Conics in the Tropical Projective Plane
… examples of tropical polynomials and their hypersurfaces, a strategy is given for finding all conics in the tropical projective plane. The classification of conics and an analysis of the coefficient space corresponding to such conics is given.
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