Advanced Studies in Pure Mathematics

Perverse sheaves and Milnor fibers over singular varieties

Kiyoshi Takeuchi

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Abstract

We review some recent applications of perverse sheaves (intersection cohomologies) in singularity theory. Milnor fibers over general complete intersection varieties will be treated. We also give a proof of a result announced in [31].

Article information

Source
Singularities in Geometry and Topology 2004, J.-P. Brasselet and T. Suwa, eds. (Tokyo: Mathematical Society of Japan, 2007), 211-222

Dates
Received: 28 January 2005
Revised: 13 May 2005
First available in Project Euclid: 16 December 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1544999911

Digital Object Identifier
doi:10.2969/aspm/04610211

Mathematical Reviews number (MathSciNet)
MR2342892

Zentralblatt MATH identifier
1131.32016

Subjects
Primary: 14B05: Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx] 32C38: Sheaves of differential operators and their modules, D-modules [See also 14F10, 16S32, 35A27, 58J15] 32S40: Monodromy; relations with differential equations and D-modules 35A27: Microlocal methods; methods of sheaf theory and homological algebra in PDE [See also 32C38, 58J15]

Citation

Takeuchi, Kiyoshi. Perverse sheaves and Milnor fibers over singular varieties. Singularities in Geometry and Topology 2004, 211--222, Mathematical Society of Japan, Tokyo, Japan, 2007. doi:10.2969/aspm/04610211. https://projecteuclid.org/euclid.aspm/1544999911


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