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Introduction to Algebraic Geometry
Taschenbuch von Sophie Kriz (u. a.)
Sprache: Englisch

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Beschreibung
The goal of this book is to provide an introduction to algebraic geometry accessible to students. Starting from solutions of polynomial equations, modern tools of the subject soon appear, motivated by how they improve our understanding of geometrical concepts. In many places, analogies and differences with related mathematical areas are explained.

The text approaches foundations of algebraic geometry in a complete and self-contained way, also covering the underlying algebra. The last two chapters include a comprehensive treatment of cohomology and discuss some of its applications in algebraic geometry.
The goal of this book is to provide an introduction to algebraic geometry accessible to students. Starting from solutions of polynomial equations, modern tools of the subject soon appear, motivated by how they improve our understanding of geometrical concepts. In many places, analogies and differences with related mathematical areas are explained.

The text approaches foundations of algebraic geometry in a complete and self-contained way, also covering the underlying algebra. The last two chapters include a comprehensive treatment of cohomology and discuss some of its applications in algebraic geometry.
Über den Autor
Igor Kriz is Professor of Mathematics at the University of Michigan in Ann Arbor, MI, USA

Sophie Kriz isHonors math major, LSA, at the University of Michigan in Ann Arbor, MI, USA
Zusammenfassung

Explains the motivations behind concepts as they arise, often comparing them to their counterparts in other areas of mathematics

Includes foundational concepts from commutative algebra and details their origins. The concept of regularity is one key example

Shows readers a path toward more advanced concepts, which is what serious students need today

Inhaltsverzeichnis
Preface.- Introduction.- Beginning concepts.- Schemes.- Properties of schemes.- Sheaves of modules.- Introduction to Cohomology.- Cohomology in algebraic geometry.- Exercises.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xix
470 S.
347 s/w Illustr.
2 farbige Illustr.
470 p. 349 illus.
2 illus. in color.
ISBN-13: 9783030626433
ISBN-10: 3030626431
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kriz, Sophie
Kriz, Igor
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 240 x 168 x 27 mm
Von/Mit: Sophie Kriz (u. a.)
Erscheinungsdatum: 14.03.2021
Gewicht: 0,817 kg
Artikel-ID: 119004625
Über den Autor
Igor Kriz is Professor of Mathematics at the University of Michigan in Ann Arbor, MI, USA

Sophie Kriz isHonors math major, LSA, at the University of Michigan in Ann Arbor, MI, USA
Zusammenfassung

Explains the motivations behind concepts as they arise, often comparing them to their counterparts in other areas of mathematics

Includes foundational concepts from commutative algebra and details their origins. The concept of regularity is one key example

Shows readers a path toward more advanced concepts, which is what serious students need today

Inhaltsverzeichnis
Preface.- Introduction.- Beginning concepts.- Schemes.- Properties of schemes.- Sheaves of modules.- Introduction to Cohomology.- Cohomology in algebraic geometry.- Exercises.
Details
Erscheinungsjahr: 2021
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xix
470 S.
347 s/w Illustr.
2 farbige Illustr.
470 p. 349 illus.
2 illus. in color.
ISBN-13: 9783030626433
ISBN-10: 3030626431
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kriz, Sophie
Kriz, Igor
Auflage: 1st ed. 2021
Hersteller: Springer International Publishing
Springer International Publishing AG
Maße: 240 x 168 x 27 mm
Von/Mit: Sophie Kriz (u. a.)
Erscheinungsdatum: 14.03.2021
Gewicht: 0,817 kg
Artikel-ID: 119004625
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