Mixed Hodge Structures On Alexander Modules


Mixed Hodge Structures On Alexander Modules
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Mixed Hodge Structures On Alexander Modules


Mixed Hodge Structures On Alexander Modules
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Author : Eva Elduque
language : en
Publisher: American Mathematical Society
Release Date : 2024-05-15

Mixed Hodge Structures On Alexander Modules written by Eva Elduque and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-15 with Mathematics categories.


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Mixed Hodge Structures


Mixed Hodge Structures
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Author : Chris A.M. Peters
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-02-27

Mixed Hodge Structures written by Chris A.M. Peters 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 2008-02-27 with Mathematics categories.


This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory the book explains Delingne's mixed Hodge theory in a detailed fashion. Then both Hain's and Morgan's approaches to mixed Hodge theory related to homotopy theory are sketched. Next comes the relative theory, and then the all encompassing theory of mixed Hodge modules. The book is interlaced with chapters containing applications. Three large appendices complete the book.



Topology Of Algebraic Varieties And Singularities


Topology Of Algebraic Varieties And Singularities
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Author : José Ignacio Cogolludo-Agustín
language : en
Publisher: American Mathematical Soc.
Release Date : 2011-01-01

Topology Of Algebraic Varieties And Singularities 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 2011-01-01 with Mathematics categories.


This volume contains four parts which look at algebraic geometry and fundamental groups, braids and knots, hyperplane arrangements and singularities.



Handbook Of Geometry And Topology Of Singularities Iii


Handbook Of Geometry And Topology Of Singularities Iii
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Author : José Luis Cisneros-Molina
language : en
Publisher: Springer Nature
Release Date : 2022-06-06

Handbook Of Geometry And Topology Of Singularities Iii written by José Luis Cisneros-Molina and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-06 with Mathematics categories.


This is the third volume of the Handbook of 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 various important aspects of singularity theory. Some of these complement topics previously explored in volumes I and II, such as, for instance, Zariski’s equisingularity, the interplay between isolated complex surface singularities and 3-manifold theory, stratified Morse theory, constructible sheaves, the topology of the non-critical levels of holomorphic functions, and intersection cohomology. Other chapters bring in new subjects, such as the Thom–Mather theory for maps, characteristic classes for singular varieties, mixed Hodge structures, residues in complex analytic varieties, nearby and vanishing cycles, and more. 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.



Singularity Theory


Singularity Theory
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Author :
language : en
Publisher:
Release Date :

Singularity Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Singularity Theory


Singularity Theory
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Author : Denis Ch‚niot
language : en
Publisher: World Scientific
Release Date : 2007

Singularity Theory written by Denis Ch‚niot 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 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.



Sixteenth International Conference Zaragoza Pau On Mathematics And Its Applications


Sixteenth International Conference Zaragoza Pau On Mathematics And Its Applications
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Author : José Luis Gracia
language : en
Publisher: Prensas de la Universidad de Zaragoza
Release Date : 2024-02-08

Sixteenth International Conference Zaragoza Pau On Mathematics And Its Applications written by José Luis Gracia and has been published by Prensas de la Universidad de Zaragoza this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-02-08 with Mathematics categories.


The International Conference Zaragoza-Pau on Mathematics and its Applications was organized by the Departamento de Matem.tica Aplicada, the Departamento de M.todos Estad.sticos and the Departamento de Matem.ticas, all of them from the Universidad de Zaragoza (Spain), and the Laboratoire de Math.matiques et de leurs Applications, from the Universit. de Pau et des Pays de l’Adour (France). This conference has been held every two years since 1989. The aim of this conference is to present recent advances in Applied Mathematics, Statistics and Pure Mathematics, putting special emphasis on subjects linked to petroleum engineering and environmental problems. The Sixteenth Conference took place in Jaca (Spain) from 7th to 9th September 2022. The official opening ceremony was graced by the presence of the Vice–Chancellor for Academic Policy of the University of Zaragoza, D. Jos. .ngel Castellanos G.mez, and Vice–Chancellor of the Research Commission of the University of Pau, Mme. Isabelle Baraille. During those three days, 111 mathematicians, coming from different universities, research institutes or the industrial sector, attended 8 plenary lectures, 69 contributed talks and a poster session with 7 posters. We note that in this edition there were 11 mini-symposia, five of them co-organized by colleagues from the Universidad de Zaragoza and the Universit. de Pau et des Pays de l’Adour.



Hodge Theory Complex Geometry And Representation Theory


Hodge Theory Complex Geometry And Representation Theory
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Author : Robert S. Doran
language : en
Publisher: American Mathematical Soc.
Release Date : 2014

Hodge Theory Complex Geometry And Representation Theory written by Robert S. Doran 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 2014 with Mathematics categories.


Contains carefully written expository and research articles. Expository papers include discussions of Noether-Lefschetz theory, algebraicity of Hodge loci, and the representation theory of SL2(R). Research articles concern the Hodge conjecture, Harish-Chandra modules, mirror symmetry, Hodge representations of Q-algebraic groups, and compactifications, distributions, and quotients of period domains.



Real And Complex Singularities


Real And Complex Singularities
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Author : Terence Gaffney
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Real And Complex Singularities written by Terence Gaffney 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 2004 with Singularities (Mathematics) categories.


The Workshop on Real and Complex Singularities is held every other year at the Instituto de Ciencias Matematicas e de Computacao (Sao Carlos, Brazil) and brings together specialists in the vanguard of singularities and its applications. This volume contains articles contributed by participants of the seventh workshop. The included papers reflect Fields Medalist Rene Thom's original vision of singularities and represent all branches of the subject: equisingularity of sets and mappings, the geometry of singular complex analytic sets, singularities of mappings and their elimination, characteristic classes, applications to differential geometry, differential equations, and bifurcation theory. The book is suitable for graduate students and researchers interested in singularity theory.



Intersection Homology Perverse Sheaves


Intersection Homology Perverse Sheaves
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Author : Laurenţiu G. Maxim
language : en
Publisher: Springer Nature
Release Date : 2019-11-30

Intersection Homology Perverse Sheaves written by Laurenţiu G. Maxim and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-30 with Mathematics categories.


This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout. By giving a taste of the main ideas in the field, the author welcomes new readers to this exciting area at the crossroads of topology, algebraic geometry, analysis, and differential equations. Those looking to delve further into the abstract theory will find ample references to facilitate navigation of both classic and recent literature. Beginning with an introduction to intersection homology from a geometric and topological viewpoint, the text goes on to develop the sheaf-theoretical perspective. Then algebraic geometry comes to the fore: a brief discussion of constructibility opens onto an in-depth exploration of perverse sheaves. Highlights from the following chapters include a detailed account of the proof of the Beilinson–Bernstein–Deligne–Gabber (BBDG) decomposition theorem, applications of perverse sheaves to hypersurface singularities, and a discussion of Hodge-theoretic aspects of intersection homology via Saito’s deep theory of mixed Hodge modules. An epilogue offers a succinct summary of the literature surrounding some recent applications. Intersection Homology & Perverse Sheaves is suitable for graduate students with a basic background in topology and algebraic geometry. By building context and familiarity with examples, the text offers an ideal starting point for those entering the field. This classroom-tested approach opens the door to further study and to current research.