D.6.17.5 H2basis

Usage:

H2basis(f); f poly

Assume:

The polynomial f in a series ring (local ordering) defines an isolated hypersurface singularity.

Return:

The procedure returns a list of representatives of a C{f}-basis of the Brieskorn lattice H"=Omega^(n+1)/df^dOmega^(n-1).

Theory:

H" is a free C{f}-module of rank milnor(f).

Display:

The procedure displays more comments for higher printlevel.

LIB "mondromy.lib";
ring R=0,(x,y),ds;
poly f=x2y2+x6+y6;
H2basis(f);
==> [1]:
==>    x4
==> [2]:
==>    x2y2
==> [3]:
==>    y4
==> [4]:
==>    x3
==> [5]:
==>    x2y
==> [6]:
==>    xy2
==> [7]:
==>    y3
==> [8]:
==>    x2
==> [9]:
==>    xy
==> [10]:
==>    y2
==> [11]:
==>    x
==> [12]:
==>    y
==> [13]:
==>    1