Simple Morphisms in Algebraic Geometry
281 kr
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Produktinformation
- Utgivningsdatum:1982-07-01
- Mått:155 x 235 x 9 mm
- Vikt:248 g
- Format:Häftad
- Språk:Engelska
- Serie:Lecture Notes in Mathematics
- Antal sidor:152
- Upplaga:1982
- Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
- ISBN:9783540115649
Utforska kategorier
Innehållsförteckning
- 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.
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