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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Kähler Differentials

Kähler Differentials

Kunz, Ernst

Paperback

Series: Advanced Lectures in Mathematics

General Mathematics

ISBN10: 3528089733
ISBN13: 9783528089733
Publisher: Springer Nature
Published: Jan 1 1986
Pages: 402
Weight: 1.27
Height: 0.84 Width: 6.14 Depth: 9.21
Language: German
This book is based on a lecture course that I gave at the University of Regensburg. The purpose of these lectures was to explain the role of Kähler differential forms in ring theory, to prepare the road for their application in algebraic geometry, and to lead up to some research problems. The text discusses almost exclusively local questions and is therefore written in the language of commutative alge- bra. The translation into the language of algebraic geometry is easy for the reader who is familiar with sheaf theory and the theory of schemes. The principal goals of the monograph are: To display the information contained in the algebra of Kähler differential forms (de Rham algebra) of a commutative algebra, to int- duce and discuss differential invariants of algebras, and to prove theorems about algebras with differential methods. The most important object we study is the module of Kähler differentials n /R of an algebra SIR. Like the differentials of analysis, differential modules linearize problems, i.e. reduce questions about algebras (non-linear problems) to questions of linear algebra. We are mainly interested in algebras of finite type.

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