Moscow Lectures

Introduction to the Theory of Schemes

Authors: Manin, Yuri I.

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  • Provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory accompanied by illuminating examples
  • Requires no prerequisites apart from the basic knowledge of abstract algebra
  • Facilitates understanding of the key notions of supersymmetry theory - a working tool of modern theoretical physics
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eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-74316-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA in USD
  • ISBN 978-3-319-74315-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA in USD
  • ISBN 978-3-030-08962-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

This English edition of Yuri I. Manin's well-received lecture notes provides a concise but extremely lucid exposition of the basics of algebraic geometry and sheaf theory. The lectures were originally held in Moscow in the late 1960s, and the corresponding preprints were widely circulated among Russian mathematicians. 
This book will be of interest to students majoring in algebraic geometry and theoretical physics (high energy physics, solid body, astrophysics) as well as to researchers and scholars in these areas.
"This is an excellent introduction to the basics of Grothendieck's theory of schemes; the very best first reading about the subject that I am aware of. I would heartily recommend every grad student who wants to study algebraic geometry to read it prior to reading more advanced textbooks."- Alexander Beilinson

About the authors

Yuri I. Manin is a retired scientific member of the Max Planck Institute for Mathematics in Bonn. He has received various prizes and notable awards, including the Moscow Mathematical Society Award (1963), the Lenin Prize (1967), the Brouwer Gold Medal (1987), the Frederic Esser Nemmers Prize (1994), the Rolf Schock Prize (1999), the King Faisal Prize for Mathematics, the Georg Cantor Medal of the German Mathematical Society (2002) and the Bolyai Prize (2010).

Reviews

“Throughout the text there are many instructive examples, remarks, and clarifying footnotes. The style of exposition is rather concise, very elegant, extremely lucid and enlightening, versatile, and – despite its venerable age of fifty years – absolutely modern and timely. … an excellent source for students, instructors, and mathematical physicists. No doubt, with this textbook, the mathematical community has another general standard reference in algebraic geometry at its disposal.” (Werner Kleinert, zbMATH 1390.14002, 2018)

Table of contents (2 chapters)

Table of contents (2 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-319-74316-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for USA in USD
  • ISBN 978-3-319-74315-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $69.99
price for USA in USD
  • ISBN 978-3-030-08962-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Introduction to the Theory of Schemes
Authors
Translated by
Leites, D.
Series Title
Moscow Lectures
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
The Author(s)
eBook ISBN
978-3-319-74316-5
DOI
10.1007/978-3-319-74316-5
Hardcover ISBN
978-3-319-74315-8
Softcover ISBN
978-3-030-08962-7
Series ISSN
2522-0314
Edition Number
1
Number of Pages
XVI, 205
Number of Illustrations
48 b/w illustrations
Topics