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Recent Progress Of Algebraic Geometry In Japan
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Book Synopsis Recent Progress of Algebraic Geometry in Japan by : M. Nagata
Download or read book Recent Progress of Algebraic Geometry in Japan written by M. Nagata and published by Elsevier. This book was released on 1983-01-01 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Progress of Algebraic Geometry in Japan
Book Synopsis Surveys on Recent Developments in Algebraic Geometry by : Izzet Coskun
Download or read book Surveys on Recent Developments in Algebraic Geometry written by Izzet Coskun and published by American Mathematical Soc.. This book was released on 2017-07-12 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The algebraic geometry community has a tradition of running a summer research institute every ten years. During these influential meetings a large number of mathematicians from around the world convene to overview the developments of the past decade and to outline the most fundamental and far-reaching problems for the next. The meeting is preceded by a Bootcamp aimed at graduate students and young researchers. This volume collects ten surveys that grew out of the Bootcamp, held July 6–10, 2015, at University of Utah, Salt Lake City, Utah. These papers give succinct and thorough introductions to some of the most important and exciting developments in algebraic geometry in the last decade. Included are descriptions of the striking advances in the Minimal Model Program, moduli spaces, derived categories, Bridgeland stability, motivic homotopy theory, methods in characteristic and Hodge theory. Surveys contain many examples, exercises and open problems, which will make this volume an invaluable and enduring resource for researchers looking for new directions.
Book Synopsis Recent Developments in Algebraic Geometry by : Hamid Abban
Download or read book Recent Developments in Algebraic Geometry written by Hamid Abban and published by Cambridge University Press. This book was released on 2022-09-30 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.
Book Synopsis Complex and Symplectic Geometry by : Daniele Angella
Download or read book Complex and Symplectic Geometry written by Daniele Angella and published by Springer. This book was released on 2017-10-12 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises from the INdAM Meeting "Complex and Symplectic Geometry", which was held in Cortona in June 2016. Several leading specialists, including young researchers, in the field of complex and symplectic geometry, present the state of the art of their research on topics such as the cohomology of complex manifolds; analytic techniques in Kähler and non-Kähler geometry; almost-complex and symplectic structures; special structures on complex manifolds; and deformations of complex objects. The work is intended for researchers in these areas.
Book Synopsis Recent Advances in Algebraic Geometry by : Christopher D. Hacon
Download or read book Recent Advances in Algebraic Geometry written by Christopher D. Hacon and published by Cambridge University Press. This book was released on 2015-01-15 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary research in algebraic geometry is the focus of this collection, which presents articles on modern aspects of the subject. The list of topics covered is a roll-call of some of the most important and active themes in this thriving area of mathematics: the reader will find articles on birational geometry, vanishing theorems, complex geometry and Hodge theory, free resolutions and syzygies, derived categories, invariant theory, moduli spaces, and related topics, all written by leading experts. The articles, which have an expository flavour, present an overall picture of current research in algebraic geometry, making this book essential for researchers and graduate students. This volume is the outcome of the conference Recent Advances in Algebraic Geometry, held in Ann Arbor, Michigan, to honour Rob Lazarsfeld's many contributions to the subject on the occasion of his 60th birthday.
Book Synopsis Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics by : Pramod M. Achar
Download or read book Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics written by Pramod M. Achar and published by American Mathematical Society. This book was released on 2014-08-27 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of two AMS Special Sessions "Geometric and Algebraic Aspects of Representation Theory" and "Quantum Groups and Noncommutative Algebraic Geometry" held October 13–14, 2012, at Tulane University, New Orleans, Louisiana. Included in this volume are original research and some survey articles on various aspects of representations of algebras including Kac—Moody algebras, Lie superalgebras, quantum groups, toroidal algebras, Leibniz algebras and their connections with other areas of mathematics and mathematical physics.
Book Synopsis Affine Algebraic Geometry: Geometry Of Polynomial Rings by : Masayoshi Miyanishi
Download or read book Affine Algebraic Geometry: Geometry Of Polynomial Rings written by Masayoshi Miyanishi and published by World Scientific. This book was released on 2023-12-05 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic geometry is more advanced with the completeness condition for projective or complete varieties. Many geometric properties are well described by the finiteness or the vanishing of sheaf cohomologies on such varieties. For non-complete varieties like affine algebraic varieties, sheaf cohomology does not work well and research progress used to be slow, although affine spaces and polynomial rings are fundamental building blocks of algebraic geometry. Progress was rapid since the Abhyankar-Moh-Suzuki Theorem of embedded affine line was proved, and logarithmic geometry was introduced by Iitaka and Kawamata.Readers will find the book covers vast basic material on an extremely rigorous level:
Book Synopsis Recent Advances in Real Algebraic Geometry and Quadratic Forms by : Bill Jacob
Download or read book Recent Advances in Real Algebraic Geometry and Quadratic Forms written by Bill Jacob and published by American Mathematical Soc.. This book was released on 1994 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers collected here present an up-to-date record of the current research developments in the fields of real algebraic geometry and quadratic forms. Articles range from the technical to the expository and there are also indications to new research directions.
Book Synopsis Polynomial Rings and Affine Algebraic Geometry by : Shigeru Kuroda
Download or read book Polynomial Rings and Affine Algebraic Geometry written by Shigeru Kuroda and published by Springer Nature. This book was released on 2020-03-27 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018. Readers will find some of the latest research conducted by an international group of experts on affine and projective algebraic geometry. The topics covered include group actions and linearization, automorphism groups and their structure as infinite-dimensional varieties, invariant theory, the Cancellation Problem, the Embedding Problem, Mathieu spaces and the Jacobian Conjecture, the Dolgachev-Weisfeiler Conjecture, classification of curves and surfaces, real forms of complex varieties, and questions of rationality, unirationality, and birationality. These papers will be of interest to all researchers and graduate students working in the fields of affine and projective algebraic geometry, as well as on certain aspects of commutative algebra, Lie theory, symplectic geometry and Stein manifolds.
Book Synopsis Japan English Publications in Print by :
Download or read book Japan English Publications in Print written by and published by . This book was released on 1998 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Progress on the Donaldson–Thomas Theory by : Yukinobu Toda
Download or read book Recent Progress on the Donaldson–Thomas Theory written by Yukinobu Toda and published by Springer Nature. This book was released on 2021-12-15 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of recent progress on the Donaldson–Thomas (DT) theory. The DT invariant was introduced by R. Thomas in 1998 as a virtual counting of stable coherent sheaves on Calabi–Yau 3-folds. Later, it turned out that the DT invariants have many interesting properties and appear in several contexts such as the Gromov–Witten/Donaldson–Thomas conjecture on curve-counting theories, wall-crossing in derived categories with respect to Bridgeland stability conditions, BPS state counting in string theory, and others. Recently, a deeper structure of the moduli spaces of coherent sheaves on Calabi–Yau 3-folds was found through derived algebraic geometry. These moduli spaces admit shifted symplectic structures and the associated d-critical structures, which lead to refined versions of DT invariants such as cohomological DT invariants. The idea of cohomological DT invariants led to a mathematical definition of the Gopakumar–Vafa invariant, which was first proposed by Gopakumar–Vafa in 1998, but its precise mathematical definition has not been available until recently. This book surveys the recent progress on DT invariants and related topics, with a focus on applications to curve-counting theories.
Book Synopsis Recent Progress in Arithmetic and Algebraic Geometry by : Yasuyuki Kachi
Download or read book Recent Progress in Arithmetic and Algebraic Geometry written by Yasuyuki Kachi and published by American Mathematical Soc.. This book was released on 2005 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume resulted from the John H. Barrett Memorial Lecture Series held at the University of Tennessee (Knoxville). The articles reflect recent developments in algebraic geometry. It is suitable for graduate students and researchers interested in algebra and algebraic geometry.
Book Synopsis Recent Developments in Complex Analysis and Computer Algebra by : R.P. Gilbert
Download or read book Recent Developments in Complex Analysis and Computer Algebra written by R.P. Gilbert and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of papers presented in the special sessions on "Complex and Numerical Analysis", "Value Distribution Theory and Complex Domains", and "Use of Symbolic Computation in Mathematics Education" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT-9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense.
Book Synopsis Recent Advances in Noncommutative Algebra and Geometry by : K. A. Brown
Download or read book Recent Advances in Noncommutative Algebra and Geometry written by K. A. Brown and published by American Mathematical Society. This book was released on 2024-05-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Recent Advances and New Directions in the Interplay of Noncommutative Algebra and Geometry, held from June 20–24, 2022, at the University of Washington, Seattle, in honor of S. Paul Smith's 65th birthday. The articles reflect the wide interests of Smith and provide researchers and graduate students with an indispensable overview of topics of current interest. Specific fields covered include: noncommutative algebraic geometry, representation theory, Hopf algebras and quantum groups, the elliptic algebras of Feigin and Odesskii, Calabi-Yau algebras, Artin-Schelter regular algebras, deformation theory, and Lie theory. In addition to original research contributions the volume includes an introductory essay reviewing Smith's research contributions in these fields, and several survey articles.
Book Synopsis Affine Space Fibrations by : Rajendra V. Gurjar
Download or read book Affine Space Fibrations written by Rajendra V. Gurjar and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-07-05 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Affine algebraic geometry has progressed remarkably in the last half a century, and its central topics are affine spaces and affine space fibrations. This authoritative book is aimed at graduate students and researchers alike, and studies the geometry and topology of morphisms of algebraic varieties whose general fibers are isomorphic to the affine space while describing structures of algebraic varieties with such affine space fibrations.
Book Synopsis Singularities - Kagoshima 2017: Proceedings Of The 5th Franco-japanese-vietnamese Symposium On Singularities by :
Download or read book Singularities - Kagoshima 2017: Proceedings Of The 5th Franco-japanese-vietnamese Symposium On Singularities written by and published by World Scientific. This book was released on 2020-06-15 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a proceedings of the 5th Franco-Japanese-Vietnamese Symposium on Singularities held in Kagoshima during 27th October - 3rd November, 2017. The main theme of the symposium was Singularity Theory in a broad sense, including complex and real algebraic varieties, functions and mappings, and topology of singularities. The symposium was based on long-term interaction of singularity theorists in France, Japan, Vietnam and other countries. This volume includes three surveys of recent trends based on the lectures in the mini-school organized in the first two days of the symposium and articles presenting recent progress in Singularity Theory.
Book Synopsis Algebraic Geometry by : Igor V. Dolgachev
Download or read book Algebraic Geometry written by Igor V. Dolgachev and published by American Mathematical Soc.. This book was released on 2007 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Korea-Japan Conference on Algebraic Geometry in honor of Igor Dolgachev on his sixtieth birthday. The articles in this volume explore a wide variety of problems that illustrate interactions between algebraic geometry and other branches of mathematics. Among the topics covered by this volume are algebraic curve theory, algebraic surface theory, moduli space, automorphic forms, Mordell-Weil lattices, and automorphisms of hyperkahler manifolds. This book is an excellent and rich reference source for researchers.