An Invitation To Web Geometry PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download An Invitation To Web Geometry PDF full book. Access full book title An Invitation To Web Geometry.
Author | : Jorge Vitório Pereira |
Publisher | : Springer |
Total Pages | : 213 |
Release | : 2015-02-23 |
Genre | : Mathematics |
ISBN | : 3319145622 |
Download An Invitation to Web Geometry Book in PDF, ePub and Kindle
This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern’s bound and Trépreau’s algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.
Author | : Jorge V. Pereira |
Publisher | : |
Total Pages | : 245 |
Release | : 2009 |
Genre | : Webs (Differential geometry) |
ISBN | : 9788524402913 |
Download An Invitation to Web Geometry Book in PDF, ePub and Kindle
Author | : Karen Smith |
Publisher | : |
Total Pages | : 184 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9781475744989 |
Download An Invitation to Algebraic Geometry Book in PDF, ePub and Kindle
Author | : Andrea T. Ricolfi |
Publisher | : Springer Nature |
Total Pages | : 310 |
Release | : 2022-12-14 |
Genre | : Mathematics |
ISBN | : 303111499X |
Download An Invitation to Modern Enumerative Geometry Book in PDF, ePub and Kindle
This book is based on a series of lectures given by the author at SISSA, Trieste, within the PhD courses Techniques in enumerative geometry (2019) and Localisation in enumerative geometry (2021). The goal of this book is to provide a gentle introduction, aimed mainly at graduate students, to the fast-growing subject of enumerative geometry and, more specifically, counting invariants in algebraic geometry. In addition to the more advanced techniques explained and applied in full detail to concrete calculations, the book contains the proofs of several background results, important for the foundations of the theory. In this respect, this text is conceived for PhD students or research “beginners” in the field of enumerative geometry or related areas. This book can be read as an introduction to Hilbert schemes and Quot schemes on 3-folds but also as an introduction to localisation formulae in enumerative geometry. It is meant to be accessible without a strong background in algebraic geometry; however, three appendices (one on deformation theory, one on intersection theory, one on virtual fundamental classes) are meant to help the reader dive deeper into the main material of the book and to make the text itself as self-contained as possible.
Author | : Joseph Grifone |
Publisher | : World Scientific |
Total Pages | : 244 |
Release | : 2001-04-30 |
Genre | : Mathematics |
ISBN | : 9814491152 |
Download Web Theory And Related Topics Book in PDF, ePub and Kindle
This book provides an overview of recent developments in web theory. Webs (i.e. families of foliations in general position) appear in many different fields of mathematics (differential geometry, algebraic geometry, differential equations, symplectic geometry, etc.) and physics (mechanics, geometrical optics, etc.). After giving a survey on webs in differential geometry and algebraic geometry, the book presents new results on partial differential equations, integrable systems, holomorphic dynamics and nonlinear optics obtained through web theory.
Author | : Karen Smith |
Publisher | : Springer |
Total Pages | : 0 |
Release | : 2010-11-19 |
Genre | : Mathematics |
ISBN | : 9781441931955 |
Download An Invitation to Algebraic Geometry Book in PDF, ePub and Kindle
This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today. It is intended for the working or the aspiring mathematician who is unfamiliar with algebraic geometry but wishes to gain an appreciation of its foundations and its goals with a minimum of prerequisites. Few algebraic prerequisites are presumed beyond a basic course in linear algebra.
Author | : Frederick J. Almgren (Jr.) |
Publisher | : American Mathematical Soc. |
Total Pages | : 96 |
Release | : 1966 |
Genre | : Mathematics |
ISBN | : 0821827472 |
Download Plateau's Problem Book in PDF, ePub and Kindle
There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory in the past 25 to 30 years. Many of the researchers who have produced these excellent results were inspired by this little book - or by Fred Almgren himself. The book is indeed a delightful invitation to the world of variational geometry. A central topic is Plateau's Problem, which is concerned with surfaces that model the behavior of soap films.When trying to resolve the problem, however, one soon finds that smooth surfaces are insufficient: Varifolds are needed. With varifolds, one can obtain geometrically meaningful solutions without having to know in advance all their possible singularities. This new tool makes possible much exciting new analysis and many new results. Plateau's problem and varifolds live in the world of geometric measure theory, where differential geometry and measure theory combine to solve problems which have variational aspects. The author's hope in writing this book was to encourage young mathematicians to study this fascinating subject further. Judging from the success of his students, it achieves this exceedingly well.
Author | : Matilde Marcolli |
Publisher | : World Scientific |
Total Pages | : 516 |
Release | : 2008-02-11 |
Genre | : Science |
ISBN | : 9814475629 |
Download An Invitation To Noncommutative Geometry Book in PDF, ePub and Kindle
This is the first existing volume that collects lectures on this important and fast developing subject in mathematics. The lectures are given by leading experts in the field and the range of topics is kept as broad as possible by including both the algebraic and the differential aspects of noncommutative geometry as well as recent applications to theoretical physics and number theory.
Author | : Joachim Kock |
Publisher | : Springer Science & Business Media |
Total Pages | : 162 |
Release | : 2007-12-27 |
Genre | : Mathematics |
ISBN | : 0817644954 |
Download An Invitation to Quantum Cohomology Book in PDF, ePub and Kindle
Elementary introduction to stable maps and quantum cohomology presents the problem of counting rational plane curves Viewpoint is mostly that of enumerative geometry Emphasis is on examples, heuristic discussions, and simple applications to best convey the intuition behind the subject Ideal for self-study, for a mini-course in quantum cohomology, or as a special topics text in a standard course in intersection theory
Author | : David A. Cox |
Publisher | : American Mathematical Soc. |
Total Pages | : 469 |
Release | : 1999 |
Genre | : Mathematics |
ISBN | : 082182127X |
Download Mirror Symmetry and Algebraic Geometry Book in PDF, ePub and Kindle
Mathematicians wanting to get into the field ... will find a very well written and encyclopaedic account of the mathematics which was needed in, and was developed from, what now might be termed classical mirror symmetry. --Bulletin of the LMS The book is highly recommended for everyone who wants to learn about the fascinating recent interplay between physics and mathematics. --Mathematical Reviews Mirror symmetry began when theoretical physicists made some astonishing predictions about rational curves on quintic hypersurfaces in four-dimensional projective space. Understanding the mathematics behind these predictions has been a substantial challenge. This book is a completely comprehensive monograph on mirror symmetry, covering the original observations by the physicists through the most recent progress made to date. Subjects discussed include toric varieties, Hodge theory, Kahler geometry, moduli of stable maps, Calabi-Yau manifolds, quantum cohomology, Gromov-Witten invariants, and the mirror theorem.