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Abelian Coverings Of The Complex Projective Plane Branched Along


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


Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines
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Author : Eriko Hironaka
language : en
Publisher: American Mathematical Soc.
Release Date : 1993

Abelian Coverings Of The Complex Projective Plane Branched Along Configurations Of Real Lines written by Eriko Hironaka and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics categories.


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.



Abelian Coverings Of The Complex Projective Plane Branched Along


Abelian Coverings Of The Complex Projective Plane Branched Along
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Author : Eriko Hironaka
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-08-31

Abelian Coverings Of The Complex Projective Plane Branched Along written by Eriko Hironaka and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-31 with Algebraic varieties categories.


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.



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


Abelian Covering Of The Complex Projective Plane Branched Along Configurations Of Real Lines
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Author : Eriko Hironaka
language : en
Publisher:
Release Date : 1992

Abelian Covering Of The Complex Projective Plane Branched Along Configurations Of Real Lines written by Eriko Hironaka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.




Singularities And Complex Geometry


Singularities And Complex Geometry
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Author : Qikeng Lu
language : en
Publisher: American Mathematical Soc.
Release Date : 1997

Singularities And Complex Geometry written by Qikeng Lu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.


This book presents the proceedings of the joint U.S.-China Seminar on Singularity and Complex Geometry held at the Institute of Mathematics of the Chinese Academy, Beijing, in June 1994. This was the first gathering of Chinese and American mathematicians working in these fields (several Japanese mathematicians also took part). The volume covers a wide range of problems in areas such as CR-manifolds, value distribution theory of holomorphic curves, topology of the complements of algebraic plane curves with singularities and arrangements, topology of non-isolated singularities, gauge theory on resolutions of simple singularities, and residues of foliations. The articles give accounts of research in these fast developing areas. Much of the material appears here for the first time in print. Titles in this series are co-published with International Press, Cambridge, MA, USA.



Singularity Theory Dedicated To Jean Paul Brasselet On His 60th Birthday Proceedings Of The 2005 Marseille Singularity School And Conference


Singularity Theory Dedicated To Jean Paul Brasselet On His 60th Birthday Proceedings Of The 2005 Marseille Singularity School And Conference
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Author : Jean-paul Brasselet
language : en
Publisher: World Scientific
Release Date : 2007-02-08

Singularity Theory Dedicated To Jean Paul Brasselet On His 60th Birthday Proceedings Of The 2005 Marseille Singularity School And Conference written by Jean-paul Brasselet and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-08 with Mathematics categories.


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.



Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves


Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves
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Author : José Ignacio Cogolludo-Agustín
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Topological Invariants Of The Complement To Arrangements Of Rational Plane Curves written by José Ignacio Cogolludo-Agustín and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.


The authors analyse two topological invariants of an embedding of an arrangement of rational plane curves in the projective complex plane, namely, the cohomology ring of the complement and the characteristic varieties. Their main result states that the cohomology ring of the complement to a rational arrangement is generated by logarithmic 1 and 2-forms and its structure depends on a finite number of invariants of the curve (its combinatorial type).



Arithmetic And Geometry Around Hypergeometric Functions


Arithmetic And Geometry Around Hypergeometric Functions
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Author : Rolf-Peter Holzapfel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-28

Arithmetic And Geometry Around Hypergeometric Functions written by Rolf-Peter Holzapfel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-28 with Mathematics categories.


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.



Hyperplane Arrangements


Hyperplane Arrangements
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Author : Alexandru Dimca
language : en
Publisher: Springer
Release Date : 2017-03-28

Hyperplane Arrangements written by Alexandru Dimca and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-28 with Mathematics categories.


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.



On The Martingale Problem For Interactive Measure Valued Branching Diffusions


On The Martingale Problem For Interactive Measure Valued Branching Diffusions
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Author : Edwin Arend Perkins
language : en
Publisher: American Mathematical Soc.
Release Date : 1995

On The Martingale Problem For Interactive Measure Valued Branching Diffusions written by Edwin Arend Perkins and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.


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.



Configuration Spaces


Configuration Spaces
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Author : Anders Björner
language : en
Publisher: Springer
Release Date : 2013-12-18

Configuration Spaces written by Anders Björner and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-18 with Mathematics categories.


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.