Smoothness, Regularity and Complete Intersection (London Mathematical Society Lecture Note Series, Series Number 373)

Majadas, Javier; Rodicio, Antonio G.

ISBN 10: 0521125723 / ISBN 13: 9780521125727

Edité par Cambridge University Press, 2010

A propos de cet article

N° de réf. du vendeur I-9780521125727

Détails bibliographiques

• Titre: Smoothness, Regularity and Complete Intersection (London Mathematical Society Lecture Note Series, Series Number 373)
• Éditeur: Cambridge University Press
• Date de parution: 2010
• Langue: anglais
• ISBN à 10 chiffres: 0521125723
• ISBN à 13 chiffres: 9780521125727
• Reliure: Couverture souple
• État de l'article: New

A propos de ce titre

Synopsis

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.

À propos des auteurs

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.