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On the Use of Local Cohomology in Algebra and Geometry

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Six Lectures on Commutative Algebra

Part of the book series: Progress in Mathematics ((MBC))

Abstract

Local cohomology is a useful tool in several branches of commutative algebra and algebraic geometry. The main aim of this series of lectures is to illustrate a few of these techniques. The material presented in the sequel needs some basic knowledge about commutative resp. homological algebra. The basic chapters of the textbooks [9], [28], and [48] are a recommended reading for the preparation. The author’s intention was to present applications of local cohomology in addition to the examples in these textbooks as well as those of [7].

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Authors and Affiliations

  1. Fachbereich Mathematik und Informatik, Martin-Luther-Universität Halle-Wittenberg, D-06 099, Halle (Saale), Germany

    Peter Schenzel

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  1. Peter Schenzel
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Editors and Affiliations

  1. Dept. Algebra i Geometria, Facultat de Matemàtiques, Universitat de Barcelona, Gran Via 585, E-08007, Barcelona, Spain

    J. Elias , J. M. Giral , R. M. Miró-Roig  & S. Zarzuela , ,  & 

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Schenzel, P. (1998). On the Use of Local Cohomology in Algebra and Geometry. In: Elias, J., Giral, J.M., Miró-Roig, R.M., Zarzuela, S. (eds) Six Lectures on Commutative Algebra. Progress in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0346-0329-4_4

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  • DOI: https://doi.org/10.1007/978-3-0346-0329-4_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0346-0328-7

  • Online ISBN: 978-3-0346-0329-4

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