The Calabi Problem For Fano Threefolds
DOWNLOAD eBooks
Download The Calabi Problem For Fano Threefolds PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get The Calabi Problem For Fano Threefolds book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Calabi Problem For Fano Threefolds
DOWNLOAD eBooks
Author : Carolina Araujo
language : en
Publisher: Cambridge University Press
Release Date : 2023-06-30
The Calabi Problem For Fano Threefolds written by Carolina Araujo and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06-30 with Mathematics categories.
This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.
Birational Geometry K Hler Einstein Metrics And Degenerations
DOWNLOAD eBooks
Author : Ivan Cheltsov
language : en
Publisher: Springer Nature
Release Date : 2023-05-23
Birational Geometry K Hler Einstein Metrics And Degenerations written by Ivan Cheltsov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-23 with Mathematics categories.
This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and Pohang The conferences were focused on the following two related problems: • existence of Kähler–Einstein metrics on Fano varieties • degenerations of Fano varieties on which two famous conjectures were recently proved. The first is the famous Borisov–Alexeev–Borisov Conjecture on the boundedness of Fano varieties, proved by Caucher Birkar (for which he was awarded the Fields medal in 2018), and the second one is the (arguably even more famous) Tian–Yau–Donaldson Conjecture on the existence of Kähler–Einstein metrics on (smooth) Fano varieties and K-stability, which was proved by Xiuxiong Chen, Sir Simon Donaldson and Song Sun. The solutions for these longstanding conjectures have opened new directions in birational and Kähler geometries. These research directions generated new interesting mathematical problems, attracting the attention of mathematicians worldwide. These conferences brought together top researchers in both fields (birational geometry and complex geometry) to solve some of these problems and understand the relations between them. The result of this activity is collected in this book, which contains contributions by sixty nine mathematicians, who contributed forty three research and survey papers to this volume. Many of them were participants of the Moscow–Shanghai–Pohang conferences, while the others helped to expand the research breadth of the volume—the diversity of their contributions reflects the vitality of modern Algebraic Geometry.
Modular Calabi Yau Threefolds
DOWNLOAD eBooks
Author : Christian Meyer
language : en
Publisher: American Mathematical Soc.
Release Date : 2005
Modular Calabi Yau Threefolds written by Christian Meyer 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 2005 with Mathematics categories.
The main subject of this book is the connection between Calabi-Yau threefolds and modular forms. The book presents the general theory and brings together the known results. It studies hundreds of new examples of rigid and non-rigid modular Calabi-Yau threefolds and correspondences between them. Conjectures about the possible levels of modular forms connected with Calabi-Yau threefolds are presented. Tables of newforms of weight four and large levels are compiled and included in the appendix.
Rationality Problems In Algebraic Geometry
DOWNLOAD eBooks
Author : Arnaud Beauville
language : en
Publisher: Springer
Release Date : 2016-12-06
Rationality Problems In Algebraic Geometry written by Arnaud Beauville and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-12-06 with Mathematics categories.
Providing an overview of the state of the art on rationality questions in algebraic geometry, this volume gives an update on the most recent developments. It offers a comprehensive introduction to this fascinating topic, and will certainly become an essential reference for anybody working in the field. Rationality problems are of fundamental importance both in algebra and algebraic geometry. Historically, rationality problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel–Jacobi map, among other areas, and they have strong links with modern notions such as moduli spaces, Hodge theory, algebraic cycles and derived categories. This text is aimed at researchers and graduate students in algebraic geometry.
The Calabi Yau Landscape
DOWNLOAD eBooks
Author : Yang-Hui He
language : en
Publisher: Springer Nature
Release Date : 2021-07-31
The Calabi Yau Landscape written by Yang-Hui He and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-31 with Mathematics categories.
Can artificial intelligence learn mathematics? The question is at the heart of this original monograph bringing together theoretical physics, modern geometry, and data science. The study of Calabi–Yau manifolds lies at an exciting intersection between physics and mathematics. Recently, there has been much activity in applying machine learning to solve otherwise intractable problems, to conjecture new formulae, or to understand the underlying structure of mathematics. In this book, insights from string and quantum field theory are combined with powerful techniques from complex and algebraic geometry, then translated into algorithms with the ultimate aim of deriving new information about Calabi–Yau manifolds. While the motivation comes from mathematical physics, the techniques are purely mathematical and the theme is that of explicit calculations. The reader is guided through the theory and provided with explicit computer code in standard software such as SageMath, Python and Mathematica to gain hands-on experience in applications of artificial intelligence to geometry. Driven by data and written in an informal style, The Calabi–Yau Landscape makes cutting-edge topics in mathematical physics, geometry and machine learning readily accessible to graduate students and beyond. The overriding ambition is to introduce some modern mathematics to the physicist, some modern physics to the mathematician, and machine learning to both.
Algebraic Threefolds
DOWNLOAD eBooks
Author : Centro internazionale matematico estivo
language : en
Publisher: C.I.M.E. Foundation Subseries
Release Date : 1982-08
Algebraic Threefolds written by Centro internazionale matematico estivo and has been published by C.I.M.E. Foundation Subseries this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-08 with Computers categories.
Mathematical Reviews
DOWNLOAD eBooks
Author :
language : en
Publisher:
Release Date : 2007
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
Revue Roumaine De Math Matiques Pures Et Appliques
DOWNLOAD eBooks
Author :
language : en
Publisher:
Release Date : 2003
Revue Roumaine De Math Matiques Pures Et Appliques written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Complex Analysis And Algebraic Geometry
DOWNLOAD eBooks
Author : Kunihiko Kodaira
language : en
Publisher: CUP Archive
Release Date : 1977
Complex Analysis And Algebraic Geometry written by Kunihiko Kodaira and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.
The articles in this volume cover some developments in complex analysis and algebraic geometry. The book is divided into three parts. Part I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as well as structure theory of certain complex manifolds. Part III is devoted to various topics in algebraic geometry analysis and arithmetic. A survey article by Ueno serves as an introduction to the general background of the subject matter of the volume. The volume was written for Kunihiko Kodaira on the occasion of his sixtieth birthday, by his friends and students. Professor Kodaira was one of the world's leading mathematicians in algebraic geometry and complex manifold theory: and the contributions reflect those concerns.
Polynomial Methods And Incidence Theory
DOWNLOAD eBooks
Author : Adam Sheffer
language : en
Publisher: Cambridge University Press
Release Date : 2022-03-24
Polynomial Methods And Incidence Theory written by Adam Sheffer and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-24 with Mathematics categories.
A thorough yet accessible introduction to the mathematical breakthroughs achieved by using new polynomial methods in the past decade.