Abelian Coverings Of The Complex Projective Plane Branched Along

Author : Eriko Hironaka
Publisher : American Mathematical Soc.
Page : 98 pages
File Size : 47,7 Mb
Release : 1993
Category : Algebraic varieties
ISBN : 9780821825648

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Abelian Coverings of the Complex Projective Plane Branched along Configurations of Real Lines by Eriko Hironaka Pdf

This work studies abelian branched coverings of smooth complex projective surfaces from the topological viewpoint. Geometric information about the coverings (such as the first Betti numbers of a smooth model or intersections of embedded curves) is related to topological and combinatorial information about the base space and branch locus. Special attention is given to examples in which the base space is the complex projective plane and the branch locus is a configuration of lines.

Author : Eriko Hironaka
Publisher : American Mathematical Society(RI)
Page : 98 pages
File Size : 46,7 Mb
Release : 2014-08-31
Category : Algebraic varieties
ISBN : 1470400790

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Abelian Coverings of the Complex Projective Plane Branched Along... by Eriko Hironaka Pdf

This work studies abelian branched coverings of smooth complex projective surfaces from the topological viewpoint. Geometric information about the coverings (such as the first Betti numbers of a smooth model or intersections of embedded curves) is related to topological and combinatorial information about the base space and branch locus. Special attention is given to examples in which the base space is the complex projective plane and the branch locus is a configuration of lines.

Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 49,9 Mb
Release : 2024-06-28
Category : Electronic
ISBN : 9789814476393

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Singularity Theory by Anonim Pdf

Author : Rolf-Peter Holzapfel,Muhammed Uludag,M. Yoshida
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 42,8 Mb
Release : 2007-06-28
Category : Mathematics
ISBN : 9783764382841

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Arithmetic and Geometry Around Hypergeometric Functions by Rolf-Peter Holzapfel,Muhammed Uludag,M. Yoshida Pdf

This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul, June 13-25, 2005. It covers a wide range of topics related to hypergeometric functions, thus giving a broad perspective of the state of the art in the field.

Author : Alexandru Dimca
Publisher : Springer
Page : 200 pages
File Size : 53,9 Mb
Release : 2017-03-28
Category : Mathematics
ISBN : 9783319562216

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Hyperplane Arrangements by Alexandru Dimca Pdf

This textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties. The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject. Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.

Author : Edwin Arend Perkins
Publisher : American Mathematical Soc.
Page : 89 pages
File Size : 52,7 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821803585

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On the Martingale Problem for Interactive Measure-Valued Branching Diffusions by Edwin Arend Perkins Pdf

This book develops stochastic integration with respect to ``Brownian trees'' and its associated stochastic calculus, with the aim of proving pathwise existence and uniqueness in a stochastic equation driven by a historical Brownian motion. Perkins uses these results and a Girsanov-type theorem to prove that the martingale problem for the historical process associated with a wide class of interactive branching measure-valued diffusions (superprocesses) is well posed. The resulting measure-valued processes will arise as limits of the empirical measures of branching particle systems in which particles interact through their spatial motions or, to a lesser extent, through their branching rates.

Author : Anders Björner,Fred Cohen,Corrado De Concini,Claudo Procesi,Mario Salvetti
Publisher : Springer
Page : 547 pages
File Size : 53,6 Mb
Release : 2013-12-18
Category : Mathematics
ISBN : 9788876424311

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Configuration Spaces by Anders Björner,Fred Cohen,Corrado De Concini,Claudo Procesi,Mario Salvetti Pdf

These proceedings contain the contributions of some of the participants in the "intensive research period" held at the De Giorgi Research Center in Pisa, during the period May-June 2010. The central theme of this research period was the study of configuration spaces from various points of view. This topic originated from the intersection of several classical theories: Braid groups and related topics, configurations of vectors (of great importance in Lie theory and representation theory), arrangements of hyperplanes and of subspaces, combinatorics, singularity theory. Recently, however, configuration spaces have acquired independent interest and indeed the contributions in this volume go far beyond the above subjects, making it attractive to a large audience of mathematicians.

Author : José Ignacio Cogolludo-Agustín,Eriko Hironaka
Publisher : American Mathematical Soc.
Page : 496 pages
File Size : 48,8 Mb
Release : 2011
Category : Algebraic topology
ISBN : 9780821848906

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Topology of Algebraic Varieties and Singularities by José Ignacio Cogolludo-Agustín,Eriko Hironaka Pdf

This volume contains invited expository and research papers from the conference Topology of Algebraic Varieties, in honour of Anatoly Libgober's 60th birthday, held June 22-26, 2009, in Jaca, Spain.

Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 46,5 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821824542

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Hilbert's Projective Metric and Iterated Nonlinear Maps by Roger D. Nussbaum Pdf

Author : Mika Seppälä,Emil Volcheck
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 45,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9780821868690

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Computational Algebraic and Analytic Geometry by Mika Seppälä,Emil Volcheck Pdf

This volume contains the proceedings of three AMS Special Sessions on Computational Algebraic and Analytic Geometry for Low-Dimensional Varieties held January 8, 2007, in New Orleans, LA; January 6, 2009, in Washington, DC; and January 6, 2011, in New Orleans, LA. Algebraic, analytic, and geometric methods are used to study algebraic curves and Riemann surfaces from a variety of points of view. The object of the study is the same. The methods are different. The fact that a multitude of methods, stemming from very different mathematical cultures, can be used to study the same objects makes this area both fascinating and challenging.

Author : Alessandro Figà-Talamanca,Tim Steger
Publisher : American Mathematical Soc.
Page : 68 pages
File Size : 40,7 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821825945

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Harmonic Analysis for Anisotropic Random Walks on Homogeneous Trees by Alessandro Figà-Talamanca,Tim Steger Pdf

This work presents a detailed study of the anisotropic series representations of the free product group $\mathbf Z/2\mathbf Z\star \cdots \star \mathbf Z/2\mathbf Z$. These representations are infinite dimensional, irreducible, and unitary and can be divided into principal and complementary series. Anisotropic series representations are interesting because, while they are not restricted from any larger continuous group in which the discrete group is a lattice, they nonetheless share many properties of such restrictions. The results of this work are also valid for nonabelian free groups on finitely many generators.

Author : José Luis Cisneros-Molina,Dũng Tráng Lê,José Seade
Publisher : Springer Nature
Page : 581 pages
File Size : 54,5 Mb
Release : 2021-11-01
Category : Mathematics
ISBN : 9783030780241

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Handbook of Geometry and Topology of Singularities II by José Luis Cisneros-Molina,Dũng Tráng Lê,José Seade Pdf

This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory and related topics. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Author : Tom Lindstrøm
Publisher : American Mathematical Soc.
Page : 128 pages
File Size : 53,7 Mb
Release : 1990-01
Category : Mathematics
ISBN : 9780821824849

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Brownian Motion on Nested Fractals by Tom Lindstrøm Pdf

Lindstrom (U. of Oslo) constructs Brownian motion on a reasonably general class of self-similar fractals. He deals with diffusions, self-similar fractals, fractal Laplacians, asymptotic distribution of eigenvalues, nonstandard analysis. Annotation copyright Book News, Inc. Portland, Or.

Author : Peter D. T. A. Elliott
Publisher : American Mathematical Soc.
Page : 88 pages
File Size : 48,9 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821825983

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On the Correlation of Multiplicative and the Sum of Additive Arithmetic Functions by Peter D. T. A. Elliott Pdf

The correlation of multiplicative arithmetic functions on distinct arithmetic progressions and with values in the complex unit disc, cannot be continually near to its possible maximum unless each function is either very close to or very far from a generalized character. Moreover, under accessible condition the second possibility can be ruled out. As a consequence analogs of the standard limit theorems in probabilistic number theory are obtained with the classical single additive function on the integers replaced by a sum of two additive functions on distinct arithmetic progressions.

Author : Gennady Bachman
Publisher : American Mathematical Soc.
Page : 80 pages
File Size : 45,9 Mb
Release : 1993
Category : Mathematics
ISBN : 9780821825723

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On the Coefficients of Cyclotomic Polynomials by Gennady Bachman Pdf

This book studies the coefficients of cyclotomic polynomials. Let $a(m,n)$ be the $m$ th coefficient of the $n$ th cyclotomic polynomial $\Phi_n(z)$, and let $a(m)=\textnormal{max}_n \vert a(m,n)\vert$. The principal result is an asymptotic formula for $\textnormal{log}a(m)$ that improves a recent estimate of Montgomery and Vaughan. Bachman also gives similar formulae for the logarithms of the one-sided extrema $a^*(m)=\textnormal{max}_na(m,n)$ and $a_*(m)=\textnormal{min}_na(m,n)$. In the course of the proof, estimates are obtained for certain exponential sums which are of independent interest.