### D.6.17 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.6.17.1 detadj |  | determinant and adjoint matrix of square matrix U
> D.6.17.2 invunit |  | series inverse of polynomial u up to order n
> D.6.17.3 jacoblift |  | lifts f^kappa in jacob(f) with minimal kappa
> D.6.17.4 monodromyB |  | monodromy of isolated hypersurface singularity f
> D.6.17.5 H2basis |  | basis of Brieskorn lattice H"

See also: gmspoly_lib; gmssing_lib.

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