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eBook Complex Geometry: An Introduction (Universitext) ePub

eBook Complex Geometry: An Introduction (Universitext) ePub

by Daniel Huybrechts

  • ISBN: 3540212906
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Daniel Huybrechts
  • Language: English
  • Publisher: Springer; 2005 edition (November 18, 2004)
  • Pages: 309
  • ePub book: 1500 kb
  • Fb2 book: 1206 kb
  • Other: lrf mbr doc azw
  • Rating: 4.8
  • Votes: 740

Description

This book is an excellent introduction to the marvellous world of complex geometry.

This book is an excellent introduction to the marvellous world of complex geometry. The proofs are very detail so the newcomers to this field will find it very useful. The background needed to read this book is just basic grad. courses in algebra, complex analysis and smooth manifolds.

Complex geometry studies (compact) complex manifolds . It discusses algebraic as well as metric aspects. The subject is on the crossroad of algebraic and differential geometry. Recent developments in string theory have made it an highly attractive area, both for mathematicians and theoretical physicists. Daniel Huybrechts is currently Professor of Mathematics at the University Denis Diderot in Paris.

Complex Geometry: An Introduction (Universitext) by Daniel Huybrechts (2004-11-18) Paperback – 1868. by. Daniel Huybrechts (Author). Find all the books, read about the author, and more. Are you an author? Learn about Author Central.

Complex geometry: an introduction. Springer-Verlag, Berlin 43, 44-59, 2005. Springer Science & Business Media, 2006. Compact hyperkähler manifolds: basic results. Inventiones mathematicae 135 (1), 63-113, 1999.

Complex Geometry Group. SFB Transregio 45 Bonn-Mainz-Essen.

Endenicher Allee 60 · 53115 Bonn Office 305 E-mail: D. Huybrechts Te. +49-(0)228-73-3135 · Fax:-3257. Sekretariat: U. Sachinidis Office 304 E-mail: . achinidis Te. +49-(0)228-73-3143 · Fax:-3257. Complex Geometry Group. Max-Planck Institut für Mathematik. CV. The geometry of cubic hypersurfaces. Algebra I (Commutative Algebra) (V3A1). Seminar: Cubic hypersurfaces (S4A1). Seminar Algebraic Geometry SAG. Programm.

The introduction provides basic features and requirements imposed on bearings, which can be used in high-speed turbomachines

The introduction provides basic features and requirements imposed on bearings, which can be used in high-speed turbomachines. Daniel Huybrechts Complex Geometry An Introduction ^Spri ringer

Complex geometry studies (compact) complex manifolds. Daniel Huybrechts Complex Geometry An Introduction ^Spri ringer. Daniel Huybrechts Universite Paris VII Denis Diderot Institut de Math^matiques 2, place Jussieu 75251 Paris Cedex 05 France e-mai/: huybrech. fr Mathematics Subject Classification B000): 14J32,14J60,14J81,32Q15,32Q20,32Q25 Cover figure is taken from page 120.

Publisher: Springer-Verlag Berlin Heidelberg. Other readers will always be interested in your opinion of the books you've read

Publisher: Springer-Verlag Berlin Heidelberg. Other readers will always be interested in your opinion of the books you've read. Whether you've loved the book or not, if you give your honest and detailed thoughts then people will find new books that are right for them. 1. Алгебраическая геометрия в работах советских математиков.

Easily accessible

Includes recent developments

Assumes very little knowledge of differentiable manifolds and functional analysis

Particular emphasis on topics related to mirror symmetry (SUSY, Kaehler-Einstein metrics, Tian-Todorov lemma)

Comments

Murn Murn
I have never had a course on complex analysis, nor on complex geometry. All my knowledge in Geometry and Analysis came from the "Real" world. Nevertheless, I started studying by my own and found this text very interesting. Using it side-by-side with Nakahara's book, I had a good balance between the necessary formalism (Huybrecht's book) and the main topics and intuition (Nakahara's book).
Cyregaehus Cyregaehus
This book is an excellent introduction to the marvellous world of complex geometry. The proofs are very detail so the newcomers to this field will find it very useful. The background needed to read this book is just basic grad. courses in algebra, complex analysis and smooth manifolds. This book has 2 special features that makes it very attractive:

i)This book covers in detail and with clear explanations and proofs all the "foundational material" presented in chapter 0 of Harris & Griffiths Principles of algebraic geometry, this is very convenient for the newcomer as chapter 0 in Harris & Griffith provides just brief and rough sketches and comments of fundamental concepts and proofs making chapter 0 not a very good place to learn many fundamental results and concepts that have to be mastered by any serious beginner in complex geometry.

ii)Chapter 6 provides a very clear and lucid introduction to deformation of complex structures. The standard references for this topic are the classical Kodaira's books: Complex manifolds (Kodaira/Morrow) and Complex manifolds and deformations of complex structures (Kodaira 1985). These books are systematic and comprehensive therefore it may not be easy to get started using them, however Chapter 6 provides and clear overview of the topics covered in these books and as far as I know this is the only textbook where you can find an introduction to deformation of complex structures.

Huybrechts provides a systematic introduction to complex geometry, with a lot of details and comments, excellent for the beginner. However if you are interested in reaching as fast as possible topics such as Calabi-Yau manifolds, Kahler-Einstein metrics, K3 surfaces, hyperkahler manifolds, G2-metrics etc., I recommend the more concise book: Lectures on Kähler Geometry by Andrei Moroianu,this is the most efficient vehicle you can use to reach quickly modern research topics; you can use Huybrechts' book as an excellent supplement to find more examples and explanations and reach quickly advance topics in complex differential geometry.