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# Acta Mathematica Vietnamica

# Commutative Algebra

# Transactions of the American Mathematical Society

# D-Modules, Perverse Sheaves, and Representation Theory

# Mathematical Reviews

# Trends in Singularities

# Length functions determined by killing powers of several ideals in a local ring

# Volumes, limits, and extensions of analytic varieties

# London Mathematical Society lecture note series

# Mathematica Scandinavica

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*Durham 1981*

Author: R. Y. Sharp

Publisher: Cambridge University Press

ISBN: 0521271258

Category: Mathematics

Page: 250

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This book is concerned with the research conducted in the late 1970s and early 1980s in the theory of commutative Neotherian rings. It consists of articles by invited speakers at the Symposium of Commutative Algebra held at the University of Durham in July 1981; these articles are all based on lectures delivered at the Symposium. The purpose of this book is to provide a record of at least some aspects of the Symposium, which several of the world leaders in the field attended. Several articles are included which provide surveys, incorporating historical perspective, details of progress made and indications of possible future lines of investigation. The book will be of interest to scholars of commutative and local algebra.

Author: American Mathematical Society

Publisher: N.A

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Category: Mathematics

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Author: Kiyoshi Takeuchi,Ryoshi Hotta,Toshiyuki Tanisaki

Publisher: Springer Science & Business Media

ISBN: 0817645233

Category: Mathematics

Page: 412

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D-modules continues to be an active area of stimulating research in such mathematical areas as algebraic, analysis, differential equations, and representation theory. Key to D-modules, Perverse Sheaves, and Representation Theory is the authors' essential algebraic-analytic approach to the theory, which connects D-modules to representation theory and other areas of mathematics. To further aid the reader, and to make the work as self-contained as possible, appendices are provided as background for the theory of derived categories and algebraic varieties. The book is intended to serve graduate students in a classroom setting and as self-study for researchers in algebraic geometry, representation theory.

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Author: Anatoly Libgober,Mihai Tibar

Publisher: BirkhĂ¤user

ISBN: 3034881614

Category: Mathematics

Page: 246

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The collection of papers in this volume represents recent advances in the under standing of the geometry and topology of singularities. The book covers a broad range of topics which are in the focus of contemporary singularity theory. Its idea emerged during two Singularities workshops held at the University of Lille (USTL) in 1999 and 2000. Due to the breadth of singularity theory, a single volume can hardly give the complete picture of today's progress. Nevertheless, this collection of papers provides a good snapshot of what is the state of affairs in the field, at the turn of the century. Several papers deal with global aspects of singularity theory. Classification of fam ilies of plane curves with prescribed singularities were among the first problems in algebraic geometry. Classification of plane cubics was known to Newton and classification of quartics was achieved by Klein at the end of the 19th century. The problem of classification of curves of higher degrees was addressed in numerous works after that. In the paper by Artal, Carmona and Cogolludo, the authors de scribe irreducible sextic curves having a singular point of type An (n > 15) and a large (Le. , :::: 18) sum of Milnor numbers of other singularities. They have discov ered many interesting properties of these families. In particular they have found new examples of so-called Zariski pairs, i. e.

Author: J. Bruce Fields

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Author: Gabriel Stolzenberg

Publisher: Springer

ISBN: N.A

Category: Mathematics

Page: 45

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Author: Jan R. Strooker

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