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Book Seven Papers on Algebra  Algebraic Geometry and Algebraic Topology

Download or read book Seven Papers on Algebra Algebraic Geometry and Algebraic Topology written by I︠U︡. I. Manin and published by . This book was released on 1967 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Seven Papers on Algebra  Algebraic Geometry and Algebraic Topology

Download or read book Seven Papers on Algebra Algebraic Geometry and Algebraic Topology written by Ju. I. Manin and published by . This book was released on 1967 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Seven Papers on Algebra  Algebraic Geometry and Algebraic Topology

Download or read book Seven Papers on Algebra Algebraic Geometry and Algebraic Topology written by and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Seven papers on algebra  algebraic geometry and algebraic topology Seven papers on algebra  algebraic geometry and algebraic topology

Download or read book Seven papers on algebra algebraic geometry and algebraic topology Seven papers on algebra algebraic geometry and algebraic topology written by Ju.I. Manin and published by . This book was released on 1967 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Translations  Series 2  Volume 63

Download or read book Translations Series 2 Volume 63 written by American Mathematical Society and published by . This book was released on 1967 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Contemporary Trends In Algebraic Geometry And Algebraic Topology

Download or read book Contemporary Trends In Algebraic Geometry And Algebraic Topology written by Shiing-shen Chern and published by World Scientific. This book was released on 2002-08-02 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics. It was devoted to memorializing those two outstanding and original Chinese mathematicians who had made significant contributions to algebraic geometry and algebraic topology, respectively. It also provided a forum for leading mathematicians to expound and discuss their views on new ideas in these fields, as well as trends in 21st Century mathematics. About 100 mathematicians participated in the conference, including Sir Michael Atiyah, Jacob Palis, Phillip Griffiths, David Eisenbud, Philippe Tondeur, Yujiro Kawamata, Tian Gang, etc.This invaluable volume contains the selected papers presented at the conference. The topics include canonical maps of Gorenstein 3-folds, fundamental groups of algebraic curves, Chen's interated integrals, algebraic fiber spaces, and others.

Book Twelve Papers on Algebra  Algebraic Geometry and Topology

Download or read book Twelve Papers on Algebra Algebraic Geometry and Topology written by S. N. Cernikov and published by American Mathematical Society(RI). This book was released on 1969 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Algebraic Topology and Related Topics

Download or read book Algebraic Topology and Related Topics written by Mahender Singh and published by Springer. This book was released on 2019-02-02 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

Book Twelve Papers on Algebra  Algebraic Geometry and Topology

Download or read book Twelve Papers on Algebra Algebraic Geometry and Topology written by S. N. Cernikov and published by . This book was released on 1969 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Handbook of Geometry and Topology of Singularities VII

Download or read book Handbook of Geometry and Topology of Singularities VII written by José Luis Cisneros-Molina and published by Springer. This book was released on 2024-10-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that 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 fourteen chapters that provide an in-depth and reader-friendly introduction to various important aspects of singularity theory. The volume begins with an outstanding exposition on Jim Damon’s contributions to singularity theory and its applications. Jim passed away in 2022 and he was one of the greatest mathematicians of recent times, having made remarkable contributions to singularity theory and its applications, mostly to medical image computing. The next chapter focuses on the singularities of real functions and their bifurcation sets. Then, we look at the perturbation theory of polynomials and linear operators, complex analytic frontal singularities, the global singularity theory of differentiable maps, and the singularities of holomorphic functions from a global point of view. The volume continues with an overview of new tools in singularity theory that spring from symplectic geometry and Floer-type homology theories. Then, it looks at the derivation of Lie algebras of isolated singularities and the three-dimensional rational isolated complete intersection singularities, as well as recent developments in algebraic K-stability and the stable degeneration conjecture. This volume also contains an interesting survey on V-filtrations, a theory began by Malgrange and Kashiwara that can be used to study nearby and vanishing cycle functors and introduced by Deligne. Then, we present a panoramic view of the Hodge, toric, and motivic methods in the study of Milnor fibers in singularity theory, both from local and global points of view. The Monodromy conjecture is also explained; this is a longstanding open problem in singularity theory that lies at the crossroads of number theory, algebra, analysis, geometry, and topology. This volume closes with recent developments in the study of the algebraic complexity of optimization problems in applied algebraic geometry and algebraic statistics. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.

Book Contributions to Algebraic Geometry

Download or read book Contributions to Algebraic Geometry written by Piotr Pragacz and published by European Mathematical Society. This book was released on 2012 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are the outcome of the Impanga Conference on Algebraic Geometry in 2010 at the Banach Center in Bedlewo. The following spectrum of topics is covered: K3 surfaces and Enriques surfaces Prym varieties and their moduli invariants of singularities in birational geometry differential forms on singular spaces Minimal Model Program linear systems toric varieties Seshadri and packing constants equivariant cohomology Thom polynomials arithmetic questions The main purpose of the volume is to give comprehensive introductions to the above topics, starting from an elementary level and ending with a discussion of current research. The first four topics are represented by the notes from the mini courses held during the conference. In the articles, the reader will find classical results and methods, as well as modern ones. This book is addressed to researchers and graduate students in algebraic geometry, singularity theory, and algebraic topology. Most of the material in this volume has not yet appeared in book form.

Book The Arithmetic and Geometry of Algebraic Cycles

Download or read book The Arithmetic and Geometry of Algebraic Cycles written by B. Brent Gordon and published by American Mathematical Soc.. This book was released on 2000 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO ASI/CRM Summer School at Banff offered a unique, full, and in-depth account of the topic, ranging from introductory courses by leading experts to discussions of the latest developments by all participants. The papers have been organized into three categories: cohomological methods; Chow groups and motives; and arithmetic methods.As a subfield of algebraic geometry, the theory of algebraic cycles has gone through various interactions with algebraic K-theory, Hodge theory, arithmetic algebraic geometry, number theory, and topology. These interactions have led to developments such as a description of Chow groups in terms of algebraic K-theory, the application of the Merkurjev-Suslin theorem to the arithmetic Abel-Jacobi mapping, progress on the celebrated conjectures of Hodge, and of Tate, which compute cycles classgroups respectively in terms of Hodge theory or as the invariants of a Galois group action on étale cohomology, the conjectures of Bloch and Beilinson, which explain the zero or pole of the $L$-function of a variety and interpret the leading non-zero coefficient of its Taylor expansion at a criticalpoint, in terms of arithmetic and geometric invariant of the variety and its cycle class groups.The immense recent progress in the theory of algebraic cycles is based on its many interactions with several other areas of mathematics. This conference was the first to focus on both arithmetic and geometric aspects of algebraic cycles. It brought together leading experts to speak from their various points of view. A unique opportunity was created to explore and view the depth and the breadth of the subject. This volume presents the intriguing results.

Book Arakelov Geometry

    Book Details:
  • Author : Atsushi Moriwaki
  • Publisher : American Mathematical Soc.
  • Release : 2014-11-05
  • ISBN : 1470410745
  • Pages : 298 pages

Download or read book Arakelov Geometry written by Atsushi Moriwaki and published by American Mathematical Soc.. This book was released on 2014-11-05 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main goal of this book is to present the so-called birational Arakelov geometry, which can be viewed as an arithmetic analog of the classical birational geometry, i.e., the study of big linear series on algebraic varieties. After explaining classical results about the geometry of numbers, the author starts with Arakelov geometry for arithmetic curves, and continues with Arakelov geometry of arithmetic surfaces and higher-dimensional varieties. The book includes such fundamental results as arithmetic Hilbert-Samuel formula, arithmetic Nakai-Moishezon criterion, arithmetic Bogomolov inequality, the existence of small sections, the continuity of arithmetic volume function, the Lang-Bogomolov conjecture and so on. In addition, the author presents, with full details, the proof of Faltings' Riemann-Roch theorem. Prerequisites for reading this book are the basic results of algebraic geometry and the language of schemes.

Book History Algebraic Geometry

Download or read book History Algebraic Geometry written by Suzanne C. Dieudonne and published by CRC Press. This book was released on 2017-11-22 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several fundamental ideas that are revived time after time in different guises, providing a better understanding of algebraic geometric phenomena. It shows how the field is enriched with loans from analysis and topology and from commutative algebra and homological algebra.

Book Galois Covers  Grothendieck Teichm  ller Theory and Dessins d Enfants

Download or read book Galois Covers Grothendieck Teichm ller Theory and Dessins d Enfants written by Frank Neumann and published by Springer Nature. This book was released on 2020-09-26 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmüller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018. Within the theme of the workshop, the collected articles cover a broad range of topics and explore exciting new links between algebraic geometry, representation theory, group theory, number theory and algebraic topology. The book combines research and overview articles by prominent international researchers and provides a valuable resource for researchers and students alike.

Book Stacks and Categories in Geometry  Topology  and Algebra

Download or read book Stacks and Categories in Geometry Topology and Algebra written by Tony Pantev and published by American Mathematical Soc.. This book was released on 2015-06-26 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the CATS4 Conference on Higher Categorical Structures and their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, held from July 2-7, 2012, at CIRM in Luminy, France. Over the past several years, the CATS conference series has brought together top level researchers from around the world interested in relative and higher category theory and its applications to classical mathematical domains. Included in this volume is a collection of articles covering the applications of categories and stacks to geometry, topology and algebra. Techniques such as localization, model categories, simplicial objects, sheaves of categories, mapping stacks, dg structures, hereditary categories, and derived stacks, are applied to give new insight on cluster algebra, Lagrangians, trace theories, loop spaces, structured surfaces, stability, ind-coherent complexes and 1-affineness showing up in geometric Langlands, branching out to many related topics along the way.

Book Algebra VII

    Book Details:
  • Author : D.J. Collins
  • Publisher : Springer Science & Business Media
  • Release : 2013-12-01
  • ISBN : 3642580130
  • Pages : 248 pages

Download or read book Algebra VII written by D.J. Collins and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "... The book under review consists of two monographs on geometric aspects of group theory ... Together, these two articles form a wide-ranging survey of combinatorial group theory, with emphasis very much on the geometric roots of the subject. This will be a useful reference work for the expert, as well as providing an overview of the subject for the outsider or novice. Many different topics are described and explored, with the main results presented but not proved. This allows the interested reader to get the flavour of these topics without becoming bogged down in detail. Both articles give comprehensive bibliographies, so that it is possible to use this book as the starting point for a more detailed study of a particular topic of interest. ..." Bulletin of the London Mathematical Society, 1996