Gorenstein Quotient Singularities In Dimension Three

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Gorenstein Quotient Singularities In Dimension Three

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Author : Stephen Shing-Toung Yau
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Gorenstein Quotient Singularities In Dimension Three written by Stephen Shing-Toung Yau and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

In chapter one we address the classification of finite subgroups of [italic capitals]SL([bold]3,[double-struck capital]C). This is followed by a general method to find invariant polynomials and their relations of finite subgroups of [italic capitals]GL([bold]3,[double-struck capital]C). Lastly, we recall some properties of quotient varieties and prove that [double-struck capital]C3/[italic capital]G has isolated singularities if and only if [italic capital]G is abelian and 1 is not an eigenvalue of g in [italic capital]G.

European Women In Mathematics

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Author : Emilia Mezzetti
language : en
Publisher: World Scientific
Release Date : 2003

European Women In Mathematics written by Emilia Mezzetti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Business & Economics categories.

This volume can be divided into two parts: a purely mathematical part with contributions on finance mathematics, interactions between geometry and physics and different areas of mathematics; another part on the popularization of mathematics and the situation of women in mathematics.

Gorenstein Quotient Singularities In Dimension Three

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Author : Stephen Shing-Toung Yau
language : en
Publisher: American Mathematical Soc.
Release Date :

Gorenstein Quotient Singularities In Dimension Three written by Stephen Shing-Toung Yau and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Written for readers with a background in abstract algebra and elementary complex variety theory, this self-contained book provides an explicit classification of all finite subgroups in SL(3,C). Yau and Yu present a general method for finding invariant polynomials and their relations to finite subgroups of GL(3,C) and also find minimal quotient generators of the ring of invariant polynomials and relations among them. This book is directed towards advanced undergraduate students, graduate students, and researchers.

Higher Dimensional Complex Varieties

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Author : Marco Andreatta
language : en
Publisher: Walter de Gruyter
Release Date : 2011-07-20

Higher Dimensional Complex Varieties written by Marco Andreatta and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-20 with Mathematics categories.

No detailed description available for "Higher Dimensional Complex Varieties".

Generalized Tate Cohomology

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Author : John Patrick Campbell Greenlees
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

Generalized Tate Cohomology written by John Patrick Campbell Greenlees and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.

Let [italic capital]G be a compact Lie group, [italic capitals]EG a contractible free [italic capital]G-space and let [italic capitals]E~G be the unreduced suspension of [italic capitals]EG with one of the cone points as basepoint. Let [italic]k*[over][subscript italic capital]G be a [italic capital]G-spectrum. Let [italic capital]X+ denote the disjoint union of [italic capital]X and a [italic capital]G-fixed basepoint. Define the [italic capital]G-spectra [italic]f([italic]k*[over][subscript italic capital]G) = [italic]k*[over][subscript italic capital]G [up arrowhead symbol] [italic capitals]EG+, [italic]c([italic]k*[over][subscript italic capital]G) = [italic capital]F([italic capitals]EG+,[italic]k*[over][subscript italic capital]G), and [italic]t([italic]k[subscript italic capital]G)* = [italic capital]F([italic capitals]EG+,[italic]k*[over][subscript italic capital]G) [up arrowhead symbol] [italic capitals]E~G. The last of these is the [italic capital]G-spectrum representing the generalized Tate homology and cohomology theories associated to [italic]k[subscript italic capital]G. Here [italic capital]F([italic capitals]EG+,[italic]k*[over][subscript italic capital]G) is the function space spectrum. The authors develop the properties of these theories, illustrating the manner in which they generalize the classical Tate-Swan theories.

Mathcal I Density Continuous Functions

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Author : Krzysztof Ciesielski
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Mathcal I Density Continuous Functions written by Krzysztof Ciesielski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

The [script capital]I-density topology is a generalization of the ordinary density topology to the setting of category instead of measure. This work involves functions which are continuous when combinations of the [script capital]I-density, deep [script capital]I-density, density and ordinary topology are used on the domain and range. In the process of examining these functions, the [script capital]I-density and deep-[script capital]I-density topologies are deeply explored and the properties of these function classes as semigroups are considered.

New Trends In Algebraic Geometry

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Author : Klaus Hulek
language : en
Publisher: Cambridge University Press
Release Date : 1999-05-13

New Trends In Algebraic Geometry written by Klaus Hulek and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-05-13 with Mathematics categories.

This book is the outcome of the 1996 Warwick Algebraic Geometry EuroConference, containing 17 survey and research articles selected from the most outstanding contemporary research topics in algebraic geometry. Several of the articles are expository: among these a beautiful short exposition by Paranjape of the new and very simple approach to the resolution of singularities; a detailed essay by Ito and Nakamura on the ubiquitous A,D,E classification, centred around simple surface singularities; a discussion by Morrison of the new special Lagrangian approach to giving geometric foundations to mirror symmetry; and two deep, informative surveys by Siebert and Behrend on Gromow-Witten invariants treating them from the point of view of algebraic and symplectic geometry. The remaining articles cover a wide cross-section of the most significant research topics in algebraic geometry. This includes Gromow-Witten invariants, Hodge theory, Calabi-Yau 3-folds, mirror symmetry and classification of varieties.

Deformation Quantization For Actions Of R D

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Author : Marc Aristide Rieffel
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Deformation Quantization For Actions Of R D written by Marc Aristide Rieffel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.

This work describes a general construction of a deformation quantization for any Poisson bracket on a manifold which comes from an action of R ]d on that manifold. These deformation quantizations are strict, in the sense that the deformed product of any two functions is again a function and that there are corresponding involutions and operator norms. Many of the techniques involved are adapted from the theory of pseudo-differential operators. The construction is shown to have many favorable properties. A number of specific examples are described, ranging from basic ones such as quantum disks, quantum tori, and quantum spheres, to aspects of quantum groups.

Behavior Of Distant Maximal Geodesics In Finitely Connected Complete 2 Dimensional Riemannian Manifolds

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Author : Takashi Shioya
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Behavior Of Distant Maximal Geodesics In Finitely Connected Complete 2 Dimensional Riemannian Manifolds written by Takashi Shioya and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This monograph studies the topological shapes of geodesics outside a large compact set in a finitely connected, complete, and noncompact surface admitting total curvature. When the surface is homeomorphic to a plane, all such geodesics behave like those of a flat cone. In particular, the rotation numbers of the geodesics are controlled by the total curvature. Accessible to beginners in differential geometry, but also of interest to specialists, this monograph features many illustrations that enhance understanding of the main ideas.

Subgroup Lattices And Symmetric Functions

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Author : Lynne M. Butler
language : en
Publisher: American Mathematical Soc.
Release Date : 1994

Subgroup Lattices And Symmetric Functions written by Lynne M. Butler and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

This work presents foundational research on two approaches to studying subgroup lattices of finite abelian p-groups. The first approach is linear algebraic in nature and generalizes Knuth's study of subspace lattices. This approach yields a combinatorial interpretation of the Betti polynomials of these Cohen-Macaulay posets. The second approach, which employs Hall-Littlewood symmetric functions, exploits properties of Kostka polynomials to obtain enumerative results such as rank-unimodality. Butler completes Lascoux and Schützenberger's proof that Kostka polynomials are nonnegative, then discusses their monotonicity result and a conjecture on Macdonald's two-variable Kostka functions.