Smoothness, Regularity and Complete Intersection
eBook - PDF

Smoothness, Regularity and Complete Intersection

  1. English
  2. PDF
  3. Available on iOS & Android
eBook - PDF

Smoothness, Regularity and Complete Intersection

About this book

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. AndrĂ©) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and AndrĂ© 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.

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Yes, you can access Smoothness, Regularity and Complete Intersection by Javier Majadas,Antonio G. Rodicio in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over one million books available in our catalogue for you to explore.

Information

Table of contents

  1. Cover
  2. Title
  3. Copyright
  4. Contents
  5. Introduction
  6. 1 Definition and first properties of (co-)homology modules
  7. 2 Formally smooth homomorphisms
  8. 3 Structure of complete noetherian local rings
  9. 4 Complete intersections
  10. 5 Regular homomorphisms: Popescu’s theorem
  11. 6 Localization of formal smoothness
  12. Appendix: Some exact sequences
  13. Bibliography
  14. Index