Recent Progress of Algebraic Geometry in Japan
| Author | : M. Nagata |
| Publisher | : Elsevier |
| Total Pages | : 223 |
| Release | : 1983-01-01 |
| Genre | : Mathematics |
| ISBN | : 0444535810 |
Recent Progress of Algebraic Geometry in Japan
Recent Progress Of Algebraic Geometry In Japan
Download Recent Progress Of Algebraic Geometry In Japan full books in PDF, epub, and Kindle. Read online free Recent Progress Of Algebraic Geometry In Japan ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Surveys on Recent Developments in Algebraic Geometry
| Author | : Izzet Coskun |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 386 |
| Release | : 2017-07-12 |
| Genre | : Mathematics |
| ISBN | : 1470435578 |
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.
Recent Advances in Algebraic Geometry
| Author | : Christopher D. Hacon |
| Publisher | : Cambridge University Press |
| Total Pages | : 451 |
| Release | : 2015-01-15 |
| Genre | : Mathematics |
| ISBN | : 110764755X |
A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.
Recent Developments in Algebraic Geometry
| Author | : Hamid Abban |
| Publisher | : Cambridge University Press |
| Total Pages | : 368 |
| Release | : 2022-09-30 |
| Genre | : Mathematics |
| ISBN | : 1009190822 |
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.
Recent Advances in Representation Theory, Quantum Groups, Algebraic Geometry, and Related Topics
| Author | : Pramod M. Achar |
| Publisher | : American Mathematical Society |
| Total Pages | : 296 |
| Release | : 2014-08-27 |
| Genre | : Mathematics |
| ISBN | : 0821898523 |
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.
Recent Progress on the Donaldson–Thomas Theory
| Author | : Yukinobu Toda |
| Publisher | : Springer Nature |
| Total Pages | : 110 |
| Release | : 2021-12-15 |
| Genre | : Science |
| ISBN | : 9811678383 |
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.
Affine Algebraic Geometry: Geometry Of Polynomial Rings
| Author | : Masayoshi Miyanishi |
| Publisher | : World Scientific |
| Total Pages | : 441 |
| Release | : 2023-12-05 |
| Genre | : Mathematics |
| ISBN | : 981128010X |
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:
Algebraic Geometry
| Author | : Igor V. Dolgachev |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 256 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821842013 |
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.
Affine Space Fibrations
| Author | : Rajendra V. Gurjar |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 360 |
| Release | : 2021-07-05 |
| Genre | : Mathematics |
| ISBN | : 3110577569 |
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.
Recent Developments in Complex Analysis and Computer Algebra
| Author | : R.P. Gilbert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 382 |
| Release | : 2013-12-01 |
| Genre | : Mathematics |
| ISBN | : 1461302978 |
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.
