Simple Morphisms in Algebraic Geometry
| Main Author: | |
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| Format: | eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1982, 1982
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| Edition: | 1st ed. 1982 |
| Series: | Lecture Notes in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- The Zariski topology, the Jacobian criterion and examples of simple algebras over a field k
- The Kahler 1-differentials
- Every k-algebra a which is essentially of finite type over k and simple is a regular local ring
- Brief discussion of unramified and étale homomorphisms
- Some corollaries to Theorem 3.5
- Fitting ideals
- Proof of the Jacobian criterion and some characterizations of simple k-algebras and A-algebras
- Characterizations of simple A-algebras in terms of étale homomorphisms; invariance of the property of being a simple algebra under composition and change of base
- Descent of simple homomorphisms and removal of all noetherian assumptions in Chapter 7 and Chapter 8
- Simple morphisms of preschemes and translation of previous theorems into the language of preschemes