D.5.6 mondromy_lib

Library:

mondromy.lib

Purpose:

Monodromy of an Isolated Hypersurface Singularity

Author:

Mathias Schulze, email: mschulze@mathematik.uni-kl.de

Overview:

A library to compute the monodromy of an isolated hypersurface singularity. It uses an algorithm by Brieskorn (manuscripta math. 2 (1970), 103-161) to compute a connection matrix of the meromorphic Gauss-Manin connection up to arbitrarily high order, and an algorithm of Gerard and Levelt (Ann. Inst. Fourier, Grenoble 23,1 (1973), pp. 157-195) to transform it to a simple pole.

Procedures:

D.5.6.1 detadj		determinant and adjoint matrix of square matrix U
D.5.6.2 invunit		series inverse of polynomial u up to order n
D.5.6.3 jacoblift		lifts f^kappa in jacob(f) with minimal kappa
D.5.6.4 monodromyB		monodromy of isolated hypersurface singularity f
D.5.6.5 H2basis		basis of Brieskorn lattice H”

See also: gaussman_lib.