Arrangements Local Systems And Singularities PDF Download
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Author | : Fouad El Zein |
Publisher | : Springer Science & Business Media |
Total Pages | : 325 |
Release | : 2010-03-14 |
Genre | : Mathematics |
ISBN | : 303460209X |
Download Arrangements, Local Systems and Singularities Book in PDF, ePub and Kindle
This volume comprises the Lecture Notes of the CIMPA/TUBITAK Summer School Arrangements, Local systems and Singularities held at Galatasaray University, Istanbul during June 2007. The volume is intended for a large audience in pure mathematics, including researchers and graduate students working in algebraic geometry, singularity theory, topology and related fields. The reader will find a variety of open problems involving arrangements, local systems and singularities proposed by the lecturers at the end of the school.
Author | : Alexandru Dimca |
Publisher | : Springer |
Total Pages | : 200 |
Release | : 2017-03-28 |
Genre | : Mathematics |
ISBN | : 3319562215 |
Download Hyperplane Arrangements Book in PDF, ePub and Kindle
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 | : Filippo Callegaro |
Publisher | : Springer |
Total Pages | : 385 |
Release | : 2016-08-27 |
Genre | : Mathematics |
ISBN | : 3319315803 |
Download Configuration Spaces Book in PDF, ePub and Kindle
This book collects the scientific contributions of a group of leading experts who took part in the INdAM Meeting held in Cortona in September 2014. With combinatorial techniques as the central theme, it focuses on recent developments in configuration spaces from various perspectives. It also discusses their applications in areas ranging from representation theory, toric geometry and geometric group theory to applied algebraic topology.
Author | : José Luis Cisneros Molina |
Publisher | : Springer Nature |
Total Pages | : 616 |
Release | : 2020-10-24 |
Genre | : Mathematics |
ISBN | : 3030530612 |
Download Handbook of Geometry and Topology of Singularities I Book in PDF, ePub and Kindle
This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory. 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. 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. This is the first volume in 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. 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 | : Jürgen Herzog |
Publisher | : Springer Science & Business Media |
Total Pages | : 277 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9400710925 |
Download Commutative Algebra, Singularities and Computer Algebra Book in PDF, ePub and Kindle
Proceedings of the NATO Advanced Research Workshop, held in Sinaia, Romania, 17-22 September 2002
Author | : José Ignacio Cogolludo-Agustín |
Publisher | : American Mathematical Soc. |
Total Pages | : 496 |
Release | : 2011 |
Genre | : Mathematics |
ISBN | : 0821848909 |
Download Topology of Algebraic Varieties and Singularities Book in PDF, ePub and Kindle
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 | : Vitor Balestro |
Publisher | : Springer Nature |
Total Pages | : 1195 |
Release | : |
Genre | : |
ISBN | : 3031505077 |
Download Convexity from the Geometric Point of View Book in PDF, ePub and Kindle
Author | : Marcelo Aguiar |
Publisher | : American Mathematical Soc. |
Total Pages | : 611 |
Release | : 2017-11-22 |
Genre | : Algebraic spaces |
ISBN | : 1470437112 |
Download Topics in Hyperplane Arrangements Book in PDF, ePub and Kindle
This monograph studies the interplay between various algebraic, geometric and combinatorial aspects of real hyperplane arrangements. It provides a careful, organized and unified treatment of several recent developments in the field, and brings forth many new ideas and results. It has two parts, each divided into eight chapters, and five appendices with background material. Part I gives a detailed discussion on faces, flats, chambers, cones, gallery intervals, lunes and other geometric notions associated with arrangements. The Tits monoid plays a central role. Another important object is the category of lunes which generalizes the classical associative operad. Also discussed are the descent and lune identities, distance functions on chambers, and the combinatorics of the braid arrangement and related examples. Part II studies the structure and representation theory of the Tits algebra of an arrangement. It gives a detailed analysis of idempotents and Peirce decompositions, and connects them to the classical theory of Eulerian idempotents. It introduces the space of Lie elements of an arrangement which generalizes the classical Lie operad. This space is the last nonzero power of the radical of the Tits algebra. It is also the socle of the left ideal of chambers and of the right ideal of Zie elements. Zie elements generalize the classical Lie idempotents. They include Dynkin elements associated to generic half-spaces which generalize the classical Dynkin idempotent. Another important object is the lune-incidence algebra which marks the beginning of noncommutative Möbius theory. These ideas are also brought upon the study of the Solomon descent algebra. The monograph is written with clarity and in sufficient detail to make it accessible to graduate students. It can also serve as a useful reference to experts.
Author | : José Luis Cisneros-Molina |
Publisher | : Springer Nature |
Total Pages | : 581 |
Release | : 2021-11-01 |
Genre | : Mathematics |
ISBN | : 3030780244 |
Download Handbook of Geometry and Topology of Singularities II Book in PDF, ePub and Kindle
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 | : Alexandru Dimca |
Publisher | : Springer Science & Business Media |
Total Pages | : 253 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642188680 |
Download Sheaves in Topology Book in PDF, ePub and Kindle
Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds. This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant) coefficients. The author helps readers progress quickly from the basic theory to current research questions, thoroughly supported along the way by examples and exercises.