Smoothness, Regularity and Complete Intersection

Javier Majadas

ISBN 10: 0521125723 / ISBN 13: 9780521125727

Editore: Cambridge University Press, 2010

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Druck auf Anfrage Neuware - Printed after ordering - Written to complement standard texts on commutative algebra, this short book gives complete and relatively easy proofs of important results, including the standard results involving localisation of formal smoothness (M. André) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and André on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the André-Quillen homology of commutative algebras, but only up to dimension 2, which is easy to construct, and they deliberately avoid using simplicial methods. The book also serves as an accessible introduction to some advanced topics and techniques. The only prerequisites are a basic course in commutative algebra and the first definitions in homological algebra.

Codice articolo 9780521125727

Dati bibliografici

• Titolo: Smoothness, Regularity and Complete Intersection
• Editore: Cambridge University Press
• Data di pubblicazione: 2010
• Lingua: Inglese
• ISBN 10: 0521125723
• ISBN 13: 9780521125727
• Rilegatura: Taschenbuch
• Condizione: Neu
• Dimensioni: 229 L x 152 A x 8 P (millimetri) 229 millimetri di larghezza per 152 millimetri di altezza per 8 millimetri di profondità
• Peso: 217 grammi

Descrizione articolo

Riassunto

A complement to standard books on commutative algebra providing complete and relatively easy proofs of important results.

Informazioni sugli autori

Javier Majadas is Professor at the University of Santiago de Compostela, Spain.

Antonio G. Rodicio is Professor at the University of Santiago de Compostela, Spain.