Simple Morphisms in Algebraic Geometry
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
935 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Simple morphisms in algebraic geometry, Richard Sot, 1982, Berlin, Springer-Verlag, 1 vol. (IV-145 p.), Lecture notes in mathematics, 0-387-11564-1 • Simple Morphisms in Algebraic Geometry, Texte imprimé, 9783662182130 |
Inhaltsangabe:
- 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.