Local cohomology : an algebraic introduction with geometric applications

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Local cohomology : an algebraic introduction with geometric applications / M.P. Brodmann, R.Y. Sharp

資料種別:

図書

出版情報:

Cambridge ; New York : Cambridge University Press, 1998

形態:

xv, 416 p. ; 24 cm

シリーズ名:

Cambridge studies in advanced mathematics ; 60 <BA00109761>

著者名:

ISBN:

9780521372862 [0521372860] (: hardback)

書誌ID:

BA34915411

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references (p. 407-409) and index

主題:

Algebra, Homological; Commutative algebra; Sheaf theory

言語:

英語

目次情報:

The local cohomology functors / 1：

Torsion modules and ideal transforms / 2：

The Mayer-Vietoris sequence / 3：

Change of rings / 4：

Other approaches / 5：

Fundamental vanishing theorems / 6：

Artinian local cohomology modules / 7：

The Lichtenbaum-Hartshorne theorem / 8：

The Annihilator and Finiteness Theorems / 9：

Matlis duality / 10：

Local duality / 11：

Foundations in the graded case / 12：

Graded versions of basic theorems / 13：

Links with projective varieties / 14：

Castelnuovo regularity / 15：

Bounds of diagonal type / 16：

Hilbert polynomials / 17：

Applications to reductions of ideals / 18：

Connectivity in algebraic varieties / 19：

Links with sheaf cohomology / 20：

The local cohomology functors / 1：

Torsion modules and ideal transforms / 2：

The Mayer-Vietoris sequence / 3：

Change of rings / 4：

Other approaches / 5：

Fundamental vanishing theorems / 6：

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1 電子ブック Local cohomology : : an algebraic introduction with geometric applications (: electronic bk) Brodmann, M. P., Sharp, R. Y.	7 図書 Multiplicities and Chern classes in local algebra Roberts, Paul, Ph. D. Cambridge University Press
2 図書 Twenty-four hours of local cohomology Iyengar, Srikanth, 1970- American Mathematical Society	8 図書 Generic local structure of the morphisms in commutative algebra (: u.s. ; : gw) Iversen, Birger Springer-Verlag
3 図書 Local cohomology : a seminar given by A. Grothendieck, Harvard University, Fall, 1961 Hartshorne, Robin, 1938-, Grothendieck, Alexandre, 1928- Springer-Verlag	9 図書 Introduction to commutative algebra (: pbk ; : student economy ed) Atiyah, Michael Francis, 1929-, Macdonald, Ian Grant Westview Press
4 図書 Introduction to categories, homological algebra, and sheaf cohomology Strooker, Jan R. Cambridge University Press	10 図書 Introduction to commutative algebra (: pbk) Atiyah, Michael Francis, 1929-, Macdonald, Ian Grant Addison-Wesley
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6 図書 Steps in commutative algebra (: pbk) Sharp, R. Y. Cambridge University Press	12 図書 An introduction to homological algebra Rotman, Joseph J., 1934- Academic Press