Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines

Author : Eriko Hironaka
Publisher : American Mathematical Soc.
Page : 98 pages
File Size : 52,8 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 : 51,9 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 : Rolf-Peter Holzapfel,Muhammed Uludag,M. Yoshida
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 47,5 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 : Anders Björner,Fred Cohen,Corrado De Concini,Claudo Procesi,Mario Salvetti
Publisher : Springer
Page : 536 pages
File Size : 49,9 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 : Alexandru Dimca
Publisher : Springer
Page : 200 pages
File Size : 53,5 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 : José Ignacio Cogolludo-Agustín,Eriko Hironaka
Publisher : American Mathematical Soc.
Page : 496 pages
File Size : 52,9 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 : Edwin Arend Perkins
Publisher : American Mathematical Soc.
Page : 89 pages
File Size : 44,5 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 : José Luis Cisneros-Molina,Dũng Tráng Lê,José Seade
Publisher : Springer Nature
Page : 581 pages
File Size : 50,7 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 : Mika Seppälä,Emil Volcheck
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 54,9 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 : Hongbing Su
Publisher : American Mathematical Soc.
Page : 83 pages
File Size : 54,9 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821826072

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On the Classification of $C^*$-algebras of Real Rank Zero: Inductive Limits of Matrix Algebras over Non-Hausdorff Graphs by Hongbing Su Pdf

This work shows that $K$-theoretic data is a complete invariant for certain inductive limit $C^*$-algebras. $C^*$-algebras of this kind are useful in studying group actions. Su gives a $K$-theoretic classification of the real rank zero $C^*$-algebras that can be expressed as inductive limits of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs or Hausdorff one-dimensional spaces defined as inverse limits of finite graphs. In addition, Su establishes a characterization for an inductive limit of finite direct sums of matrix algebras over finite (possibly non-Hausdorff) graphs to be real rank zero.

Author : Maria del Rosario Gonzalez-Dorrego
Publisher : American Mathematical Soc.
Page : 101 pages
File Size : 42,6 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821825747

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$(16,6)$ Configurations and Geometry of Kummer Surfaces in ${\mathbb P}^3$ by Maria del Rosario Gonzalez-Dorrego Pdf

The philosophy of the first part of this work is to understand (and classify) Kummer surfaces by studying (16, 6) configurations. Chapter 1 is devoted to classifying (16, 6) configurations and studying their manifold symmetries and the underlying questions about finite subgroups of [italic capitals]PGL4([italic]k). In chapter 2 we use this information to give a complete classification of Kummer surfaces together with explicit equations and the explicit description of their singularities.

Author : Roger D. Nussbaum
Publisher : American Mathematical Soc.
Page : 137 pages
File Size : 51,9 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 : I-Chiau Huang
Publisher : American Mathematical Soc.
Page : 73 pages
File Size : 40,8 Mb
Release : 1995
Category : Injective modules
ISBN : 9780821826089

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Pseudofunctors on Modules with Zero Dimensional Support by I-Chiau Huang Pdf

Pseudofunctors with values on modules with zero dimensional support are constructed over the formally smooth category and residually finite category. Combining those pseudofunctors, a pseudofunctor over the category whose objects are Noetherian local rings and whose morphisms are local with finitely generated residue field extensions is constructed.

Author : Yongsheng Han,Eric T. Sawyer
Publisher : American Mathematical Soc.
Page : 126 pages
File Size : 46,7 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821825921

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Littlewood-Paley Theory on Spaces of Homogeneous Type and the Classical Function Spaces by Yongsheng Han,Eric T. Sawyer Pdf

In this work, Han and Sawyer extend Littlewood-Paley theory, Besov spaces, and Triebel-Lizorkin spaces to the general setting of a space of homogeneous type. For this purpose, they establish a suitable analogue of the Calder 'on reproducing formula and use it to extend classical results on atomic decomposition, interpolation, and T1 and Tb theorems. Some new results in the classical setting are also obtained: atomic decompositions with vanishing b-moment, and Littlewood-Paley characterizations of Besov and Triebel-Lizorkin spaces with only half the usual smoothness and cancellation conditions on the approximate identity.

Author : Eric M. Friedlander,Barry Mazur
Publisher : American Mathematical Soc.
Page : 110 pages
File Size : 40,6 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821825914

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Filtrations on the Homology of Algebraic Varieties by Eric M. Friedlander,Barry Mazur Pdf

This work provides a detailed exposition of a classical topic from a very recent viewpoint. Friedlander and Mazur describe some foundational aspects of ``Lawson homology'' for complex projective algebraic varieties, a homology theory defined in terms of homotopy groups of spaces of algebraic cycles. Attention is paid to methods of group completing abelian topological monoids. The authors study properties of Chow varieties, especially in connection with algebraic correspondences relating algebraic varieties. Operations on Lawson homology are introduced and analyzed. These operations lead to a filtration on the singular homology of algebraic varieties, which is identified in terms of correspondences and related to classical filtrations of Hodge and Grothendieck.