Simple morphisms in algebraic geometry

Richard Sot


  • 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 etale 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 etale 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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書名 Simple morphisms in algebraic geometry
著作者等 Sot, Richard
Sot R.
シリーズ名 Lecture notes in mathematics
出版元 Springer-Verlag
刊行年月 1982
ページ数 iv, 145 p.
大きさ 25 cm
ISBN 0387115641
NCID BA00678257
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言語 英語
出版国 ドイツ