Advanced Studies in Pure Mathematics

On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities

Yayoi Nakamura and Shinichi Tajima

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Abstract

In this paper, a notion of a weighted-degree is introduced to algebraic local cohomology classes associated with a semiquasihomogeneous function. Utilizing weighted-degrees, computations of a dual basis of Milnor algebra and membership problems are considered as applications.

Article information

Source
Singularities in Geometry and Topology 2004, J.-P. Brasselet and T. Suwa, eds. (Tokyo: Mathematical Society of Japan, 2007), 105-117

Dates
Received: 14 April 2005
Revised: 22 July 2005
First available in Project Euclid: 16 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1544999908

Digital Object Identifier
doi:10.2969/aspm/04610105

Mathematical Reviews number (MathSciNet)
MR2342889

Zentralblatt MATH identifier
1129.14003

Citation

Nakamura, Yayoi; Tajima, Shinichi. On weighted-degrees for algebraic local cohomologies associated with semiquasihomogeneous singularities. Singularities in Geometry and Topology 2004, 105--117, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04610105. https://projecteuclid.org/euclid.aspm/1544999908


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