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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 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.
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
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 |
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Fachbereich: | Arithmetik & Algebra |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
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 |
Einband: | Kartoniert / Broschiert |
Autor: |
Kriz, Sophie
Kriz, Igor |
Auflage: | 1st edition 2021 |
Hersteller: |
Springer Nature Switzerland
Springer International Publishing |
Verantwortliche Person für die EU: | Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, D-14197 Berlin, juergen.hartmann@springer.com |
Maße: | 240 x 168 x 27 mm |
Von/Mit: | Sophie Kriz (u. a.) |
Erscheinungsdatum: | 14.03.2021 |
Gewicht: | 0,817 kg |