Advanced Studies in Pure Mathematics
- Adv. Stud. Pure Math.
- Singularities in Geometry and Topology 2004, J.-P. Brasselet and T. Suwa, eds. (Tokyo: Mathematical Society of Japan, 2007), 211 - 222
Perverse sheaves and Milnor fibers over singular varieties
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 .
Received: 28 January 2005
Revised: 13 May 2005
First available in Project Euclid: 16 December 2018
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Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
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]
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