Simple Morphisms in Algebraic Geometry [electronic resource] / by Richard Sot.
Material type: TextSeries: Lecture Notes in Mathematics ; 935Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1982Description: IV, 152 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540392651Subject(s): Mathematics | Geometry, algebraic | Mathematics | Algebraic GeometryAdditional physical formats: Printed edition:: No titleDDC classification: 516.35 LOC classification: QA564-609Online resources: Click here to access onlineCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK1046 |
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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