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Algorithms for the Gauss–Manin Connection

✍ Scribed by Mathias Schulze

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
402 KB
Volume
32
Category
Article
ISSN
0747-7171

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✦ Synopsis

We give an introduction to the theory of the Gauss-Manin connection of an isolated hypersurface singularity and describe an algorithm to compute the V-filtration on the Brieskorn lattice. We use an implementation in the computer algebra system Singular to prove C. Hertling's conjecture about the variance of the spectrum for Milnor number µ ≤ 16.

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