Equimultiplicity and Blowing Up - An Algebraic Study (Paperback, Softcover reprint of the original 1st ed. 1988)

Content and Subject Matter: This research monograph deals with two main subjects, namely the notion of equimultiplicity and the algebraic study of various graded rings in relation to blowing ups. Both subjects are clearly motivated by their use in resolving singularities of algebraic varieties, for which one of the main tools consists in blowing up the variety along an equimultiple subvariety. For equimultiplicity a unified and self-contained treatment of earlier results of two of the authors is given, establishing a notion of equimultiplicity for situations other than the classical ones. For blowing up, new results are presented on the connection with generalized Cohen-Macaulay rings. To keep this part self-contained too, a section on local cohomology and local duality for graded rings and modules is included with detailed proofs. Finally, in an appendix, the notion of equimultiplicity for complex analytic spaces is given a geometric interpretation and its equivalence to the algebraic notion is explained. The book is primarily addressed to specialists in the subject but the self-contained and unified presentation of numerous earlier results make it accessible to graduate students with basic knowledge in commutative algebra.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	October 2011
First published:	1988
Authors:	Manfred Herrmann
Appendix by:	B. Moonen
Authors:	Shin Ikeda • Ulrich Orbanz
Dimensions:	244 x 170 x 33mm (L x W x T)
Format:	Paperback
Pages:	629
Edition:	Softcover reprint of the original 1st ed. 1988
ISBN-13:	978-3-642-64803-8
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Promotions
LSN:	3-642-64803-7
Barcode:	9783642648038

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