Authors:
- 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
Part of the book series: Moscow Lectures (ML)
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Table of contents (2 chapters)
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Front Matter
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Back Matter
About this book
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
Reviews
“This slim volume is still a valuable introduction to schemes and nicely complements the textbooks on this topic which have appeared in the meantime.” (C. Baxa, Monatshefte für Mathematik, Vol. 201 (4), August, 2023)
“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)
Authors and Affiliations
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Max Planck Institute for Mathematics , Bonn, Germany
Yuri I. Manin
About the author
Bibliographic Information
Book Title: Introduction to the Theory of Schemes
Authors: Yuri I. Manin
Translated by: Dimitry Leites
Series Title: Moscow Lectures
DOI: https://doi.org/10.1007/978-3-319-74316-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: The Author(s) 2018
Hardcover ISBN: 978-3-319-74315-8Published: 28 May 2018
Softcover ISBN: 978-3-030-08962-7Published: 26 January 2019
eBook ISBN: 978-3-319-74316-5Published: 15 May 2018
Series ISSN: 2522-0314
Series E-ISSN: 2522-0322
Edition Number: 1
Number of Pages: XVI, 205
Number of Illustrations: 48 b/w illustrations
Topics: Algebraic Geometry, Category Theory, Homological Algebra, Commutative Rings and Algebras