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Catalogue Information
Field name	Details
Dewey Class	516.35
Title	Algebraic Geometry and Commutative Algebra ( EBook/) / by Siegfried Bosch.
Author	Bosch, Siegfried
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2022.
Publication	London : : Springer London : : Imprint: Springer, , 2022.
Physical Details	X, 504 p. 18 illus. : online resource.
Series	Universitext 2191-6675
ISBN	9781447175230
Summary Note	Algebraic Geometry is a fascinating branch of Mathematics that combines methods from both Algebra and Geometry. It transcends the limited scope of pure Algebra by means of geometric construction principles. Putting forward this idea, Grothendieck revolutionized Algebraic Geometry in the late 1950s by inventing schemes. Schemes now also play an important role in Algebraic Number Theory, a field that used to be far away from Geometry. The new point of view paved the way for spectacular progress, such as the proof of Fermat's Last Theorem by Wiles and Taylor. This book explains the scheme-theoretic approach to Algebraic Geometry for non-experts, while more advanced readers can use it to broaden their view on the subject. A separate part presents the necessary prerequisites from Commutative Algebra, thereby providing an accessible and self-contained introduction to advanced Algebraic Geometry. Every chapter of the book is preceded by a motivating introduction with an informal discussion of its contents and background. Typical examples, and an abundance of exercises illustrate each section. Therefore the book is an excellent companion for self-studying or for complementing skills that have already been acquired. It can just as well serve as a convenient source for (reading) course material and, in any case, as supplementary literature. The present edition is a critical revision of the earlier text.:
Contents note	Rings and Modules -- The Theory of Noetherian Rings -- Integral Extensions -- Extension of Coefficients and Descent -- Homological Methods: Ext and Tor -- Affine Schemes and Basic Constructions -- Techniques of Global Schemes -- Etale and Smooth Morphisms -- Projective Schemes and Proper Morphisms.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-1-4471-7523-0
Links to Related Works	Subject References: Algebraic Geometry . Commutative algebra . Commutative rings . Commutative Rings and Algebras . Authors: author . Bosch, Siegfried . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 516.35 .

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Algebraic Geometry and Commutative Algebra

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