Smoothness, regularity and complete intersection
著者
書誌事項
Smoothness, regularity and complete intersection
（London Mathematical Society lecture note series, 373）
Cambridge University Press, 2010
- : pbk
大学図書館所蔵 件 / 全43件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes bibliographical references (p. 130-133) and index
内容説明・目次
内容説明
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. Andre) and localisation of complete intersections (L. Avramov), some important results of D. Popescu and Andre on regular homomorphisms, and some results from A. Grothendieck's EGA on smooth homomorphisms. The authors make extensive use of the Andre-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.
目次
- Introduction
- 1. Definition and first properties of (co-)homology modules
- 2. Formally smooth homomorphisms
- 3. Structure of complete noetherian local rings
- 4. Complete intersections
- 5. Regular homomorphisms: Popescu's theorem
- 6. Localization of formal smoothness
- Appendix: some exact sequences
- Bibliography
- Index.
「Nielsen BookData」 より
