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Author: Boris Youssin
Publisher: American Mathematical Soc.
ISBN: 0821824953
Category : Mathematics
Languages : en
Pages : 109
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Book Description
This book creates a commutative algebra background for explicit and canonical resolution of singularities of algebraic varieties. The author's construction provides a coordinate-free definition of some Newton polyhedra related to a germ of functions or an ideal. In addition, the construction is significant as a step toward an explicit and canonical resolution of singularities in characteristic zero. The book is intended for researchers in algebraic geometry and commutative algebra.
Author: Boris Youssin
Publisher: American Mathematical Soc.
ISBN: 0821824953
Category : Mathematics
Languages : en
Pages : 109
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Book Description
This book creates a commutative algebra background for explicit and canonical resolution of singularities of algebraic varieties. The author's construction provides a coordinate-free definition of some Newton polyhedra related to a germ of functions or an ideal. In addition, the construction is significant as a step toward an explicit and canonical resolution of singularities in characteristic zero. The book is intended for researchers in algebraic geometry and commutative algebra.
Author: Denis Chniot
Publisher: World Scientific
ISBN: 9812704108
Category : Mathematics
Languages : en
Pages : 1083
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Book Description
The Singularity School and Conference took place in Luminy, Marseille, from January 24th to February 25th 2005. More than 180 mathematicians from over 30 countries converged to discuss recent developments in singularity theory.The volume contains the elementary and advanced courses conducted by singularities specialists during the conference, general lectures on singularity theory, and lectures on applications of the theory to various domains. The subjects range from geometry and topology of singularities, through real and complex singularities, to applications of singularities.
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2216
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Book Description
A world list of books in the English language.
Author: Stephen Semmes
Publisher: American Mathematical Soc.
ISBN: 0821825321
Category : Mathematics
Languages : en
Pages : 111
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Book Description
Similar in philosophy to the study of moduli spaces in algebraic geometry, the central theme of this book is that spaces of (pseudoconvex) domains should admit geometrical structures that reflect the complex geometry of the underlying domains in a natural way. With its unusual geometric perspective of some topics in several complex variables, this book appeals to those who view much of mathematics in broadly geometrical terms.
Author: Paul Feit
Publisher: American Mathematical Soc.
ISBN: 0821825461
Category : Categories
Languages : en
Pages : 121
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Book Description
This paper offers a systematic approach to all mathematical theories with local/global behavior. To build objects with local and global aspects, on begins with a category of [script]C of allowed local structures, and somehow derives a category [script]C[superscript]gl of things which are 'locally' in [script]C. Some global objects, such as manifolds or schemes, can be represented as a sheaf of algebras on a topological base space; others, like algebraic spaces, are more technical. These theories share common structure--certain theorems on inverse limits, descent, and dependence on special class of morphism appear in all cases. Yet, classical proofs for universal properties proceed by case-by-case study. Separate examples require distinct arguments.
Author: Brian D. Boe
Publisher: American Mathematical Soc.
ISBN: 082182547X
Category : Mathematics
Languages : en
Pages : 122
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Book Description
This book investigates the composition series of generalized principal series representations induced from a maximal cuspidal parabolic subgroup of a real reductive Lie group. Boe and Collingwood study when such representations are multiplicity-free (Vogan's Problem #3) and the problem of describing their composition factors in closed form. The results obtained are strikingly similar to those of Enright and Shelton for highest weight modules. Connections with two different flag variety decompositions are discussed.
Author: Sankt-Peterburgskoe matematicheskoe obshchestvo
Publisher: American Mathematical Soc.
ISBN: 082184802X
Category : Mathematics
Languages : en
Pages : 242
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Book Description
Contains articles on analysis, probability, partial differential operators, frames, and other areas of mathematics. This volume also contains a comprehensive article about the classification of pseudo-regular convex polyhedra. It is suitable for a broad group of graduate students and researchers interested in the topics presented here.
Author: Bruce Arie Reznick
Publisher: American Mathematical Soc.
ISBN: 0821825232
Category : Mathematics
Languages : en
Pages : 169
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Book Description
This work initiates a systematic analysis of the representation of real forms of even degree as sums of powers of linear forms and the resulting implications in real algebraic geometry, number theory, combinatorics, functional analysis, and numerical analysis. The proofs utilize elementary techniques from linear algebra, convexity, number theory, and real algebraic geometry and many explicit examples and relevant historical remarks are presented.
Author: Herwig Hauser
Publisher: Birkhäuser
ISBN: 3034883994
Category : Mathematics
Languages : en
Pages : 610
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Book Description
In September 1997, the Working Week on Resolution of Singularities was held at Obergurgl in the Tyrolean Alps. Its objective was to manifest the state of the art in the field and to formulate major questions for future research. The four courses given during this week were written up by the speakers and make up part I of this volume. They are complemented in part II by fifteen selected contributions on specific topics and resolution theories. The volume is intended to provide a broad and accessible introduction to resolution of singularities leading the reader directly to concrete research problems.
Author: Margherita Galbiati
Publisher: Springer
ISBN: 3540469524
Category : Mathematics
Languages : en
Pages : 371
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Book Description
