Resolution of Singularities

A research textbook in tribute to Oscar Zariski Based on the courses given at the Working Week in Obergurgl, Austria, September 7–14, 1997

Author: Herwig Hauser,Joseph Lipman,Frans Oort,Adolfo Quirós

Publisher: Birkhäuser

ISBN: 3034883994

Category: Mathematics

Page: 598

View: 9501

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.

Birational Geometry of Algebraic Varieties

Author: Janos Kollár,Shigefumi Mori

Publisher: Cambridge University Press

ISBN: 9780521060226

Category: Mathematics

Page: 254

View: 3527

This book provides the first comprehensive introduction to the circle of ideas developed around Mori's program.

L'Enseignement mathématique

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 1240

Vols. for 1965- include a separately paged section, Bulletin bibliographique.

In Eves' circles

Author: Joby Milo Anthony,Howard Whitley Eves,Mathematical Association of America

Publisher: Mathematical Assn of Amer

ISBN: 9780883850886

Category: Mathematics

Page: 209

View: 5269

In Eves' circles

Author: Mathematical Association of America

Publisher: Mathematical Assn of Amer

ISBN: 9780883850886

Category: Mathematics

Page: 209

View: 759

Topics on real analytic spaces

Author: Francesco Guaraldo,Patrizia Macrì,Alessandro Tancredi

Publisher: Friedrick Vieweg & Son

ISBN: 9783528089634

Category: Mathematics

Page: 163

View: 4473

Milnor Fiber Boundary of a Non-isolated Surface Singularity

Author: András Némethi,Ágnes Szilárd

Publisher: Springer Science & Business Media

ISBN: 3642236464

Category: Mathematics

Page: 240

View: 1358

In the study of algebraic/analytic varieties a key aspect is the description of the invariants of their singularities. This book targets the challenging non-isolated case. Let f be a complex analytic hypersurface germ in three variables whose zero set has a 1-dimensional singular locus. We develop an explicit procedure and algorithm that describe the boundary M of the Milnor fiber of f as an oriented plumbed 3-manifold. This method also provides the characteristic polynomial of the algebraic monodromy. We then determine the multiplicity system of the open book decomposition of M cut out by the argument of g for any complex analytic germ g such that the pair (f,g) is an ICIS. Moreover, the horizontal and vertical monodromies of the transversal type singularities associated with the singular locus of f and of the ICIS (f,g) are also described. The theory is supported by a substantial amount of examples, including homogeneous and composed singularities and suspensions. The properties peculiar to M are also emphasized.

Transcendental Representations with Applications to Solids and Fluids

Author: Luis Manuel Braga da Costa Campos

Publisher: CRC Press

ISBN: 1439835241

Category: Mathematics

Page: 898

View: 7506

Building on the author’s previous book in the series, Complex Analysis with Applications to Flows and Fields (CRC Press, 2010), Transcendental Representations with Applications to Solids and Fluids focuses on four infinite representations: series expansions, series of fractions for meromorphic functions, infinite products for functions with infinitely many zeros, and continued fractions as alternative representations. This book also continues the application of complex functions to more classes of fields, including incompressible rotational flows, compressible irrotational flows, unsteady flows, rotating flows, surface tension and capillarity, deflection of membranes under load, torsion of rods by torques, plane elasticity, and plane viscous flows. The two books together offer a complete treatment of complex analysis, showing how the elementary transcendental functions and other complex functions are applied to fluid and solid media and force fields mainly in two dimensions. The mathematical developments appear in odd-numbered chapters while the physical and engineering applications can be found in even-numbered chapters. The last chapter presents a set of detailed examples. Each chapter begins with an introduction and concludes with related topics. Written by one of the foremost authorities in aeronautical/aerospace engineering, this self-contained book gives the necessary mathematical background and physical principles to build models for technological and scientific purposes. It shows how to formulate problems, justify the solutions, and interpret the results.

Regular Polytopes

Author: H. S. M. Coxeter

Publisher: Courier Corporation

ISBN: 0486141586

Category: Mathematics

Page: 368

View: 8462

Foremost book available on polytopes, incorporating ancient Greek and most modern work. Discusses polygons, polyhedrons, and multi-dimensional polytopes. Definitions of symbols. Includes 8 tables plus many diagrams and examples. 1963 edition.

Models of Agglomeration and Glass Transition

Author: Richard Kerner

Publisher: World Scientific Publishing Company

ISBN: 1911299298

Category: Science

Page: 380

View: 5160

This book is for any physicist interested in new vistas in the domain of non-crystalline condensed matter, aperiodic and quasi-crystalline networks and especially glass physics and chemistry. Students with an elementary background in thermodynamics and statistical physics will find the book accessible. The physics of glasses is extensively covered, focusing on their thermal and mechanical properties, as well as various models leading to the formation of the glassy states of matter from overcooled liquids. The models of agglomeration and growth are also applied to describe the formation of quasicrystals, fullerenes and, in biology, to describe virus assembly pathways. Contents:Self-SimilarityTopological and Statistical Properties of NetworksBonds and Interactions in NetworksStochastic Agglomeration ModelModel of Quasi-Crystalline GrowthNucleation and Growth of FullerenesIcosahedral Virus Capsid GrowthGlasses and Their PropertiesKinetics of Crystallization in LiquidsStochastic Agglomeration Model of Glass TransitionTernary and Multicomponent Glasses. ImmiscibilityGlass Transition and the Cooling RateRigidity, Connectivity and Homogeneity in Glasses Readership: Undergraduate and graduate students in physics and chemistry.

Singular Points of Complex Hypersurfaces

Author: John Willard Milnor

Publisher: Princeton University Press

ISBN: 9780691080659

Category: Mathematics

Page: 122

View: 5061

The description for this book, Singular Points of Complex Hypersurfaces. (AM-61), Volume 61, will be forthcoming.

Polynomials and Vanishing Cycles

Author: Mihai Tibăr,Tib&,Mihai Tib R

Publisher: Cambridge University Press

ISBN: 9780521829205

Category: Mathematics

Page: 253

View: 8819

A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations is proposed in this tract. Lefschetz theory, complex Morse theory and singularities of hypersurfaces are presented in detail leading to the latest research on topics such as the topology of singularities of meromorphic functions and non-generic Lefschetz pencils.