Ideals and Reality : Projective Modules and Number of Generators of Ideals
Friedrich. Ischebeck
Bok Engelsk 2005 · Electronic books.
| Annen tittel | |
|---|---|
| Utgitt | Berlin : Springer , c2005
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| Omfang | 1 online resource (346 p.)
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| Opplysninger | Description based upon print version of record.. - Basic Commutative Algebra 1; Introduction to Projective Modules; Stably Free Modules; Serre's Conjecture; Continuous Vector Bundles; Basic Commutative Algebra II; Serre's Splitting Theorem and Lindel's Proof of Serre's Conjecture; Regular Rings; Bounds on the Number of Generators; Curves as Complete Intersection. - This monograph tells the story of a philosophy of J-P. Serre and his vision of relating that philosophy to problems in affine algebraic geometry. It gives a lucid presentation of the Quillen-Suslin theorem settling Serre's conjecture. The central topic of the book is the question of whether a curve in n-space is as a set an intersection of (n-1) hypersurfaces, depicted by the central theorems of Ferrand, Szpiro, Cowsik-Nori, Mohan Kumar, Boratynsk. The book gives a comprehensive introduction to basic commutative algebra, together with the related methods from homological algebra, which wil
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| Emner | |
| Sjanger | |
| Dewey | |
| ISBN | 3540230327
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