Kathleen Hoornaert

Catholic University Leuven Department of Mathematics Algebraic Geometry and Number Theory Celestijnenlaan 200 B 3001 Leuven (Heverlee) Belgium Tel: +32 (0) 16 32 70 08 Fax: +32 (0) 16 32 79 98 mailto:kathleen.hoornaert@wis.kuleuven.ac.be

• research interests
• papers
• computer program for Igusa's local zeta function and the topological zeta function
• other homepages

Last changes:

• 5/2002
  My doctoral thesis was added and I corrected some misprints in the last two papers
  The procedure to calculate the numbers N_t from the program "Polygusa" was enhanced.
• 3/2002
  The procedures planeequation, calccodefacets2 and coordswrtlattice from the program "Polygusa" were enhanced in order to deal with polynomials with more points in the support.
• 1/2002
  Two new articles were added.
  There was a colon missing in the line
  directory_of_program:="c:\\igusprog":
  from the program Polygusa.
• 10/2001
  The computer program can now also deal with polynomials whose Newton polyhedron has many variables.
  It also gives better upperbounds for the orders of the candidate poles.
  One can now also calculate the zeta function of the monodromy in the origin.
• 5/2001
  The computer program to calculate Igusa's local zeta function has been enhanced and some procedures have been added to also calculate the topological zeta function.