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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Arithmetik & Algebra Equimultiplicity and Blowing Up
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Equimultiplicity and Blowing Up
Manfred Herrmann (Gebundene Ausgabe, Englisch)
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Beschreibung
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. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
28.06.1988
Sprache
Englisch
EAN
9783540152897
Herausgeber
Springer Berlin
Sonderedition
Nein
Autor
Manfred Herrmann
Seitenanzahl
629
Einbandart
Gebundene Ausgabe
Buch Untertitel
An Algebraic Study
Schlagwörter
commutative property, Blowing up, Equivalence, cohomology, Grothendieck topology, algebra, tool, sheaves, proof, duality, Divisor, algebraic varieties, Dimension, knowledge, Grad
Thema-Inhalt
PBMW - Algebraische Geometrie
-.-
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