Singular

D.5.6 reszeta_lib

Library:

reszeta.lib

Purpose:

topological Zeta-function and some other applications of desingularization

Authors:

A. Fruehbis-Krueger, anne@mathematik.uni-kl.de,
G. Pfister, pfister@mathematik.uni-kl.de

References:

[1] Fruehbis-Krueger,A., Pfister,G.: Some Applications of Resolution of
Singularities from a Practical Point of View, in Computational
Commutative and Non-commutative Algebraic Geometry,
NATO Science Series III, Computer and Systems Sciences 196, 104-117 (2005) [2] Fruehbis-Krueger: An Application of Resolution of Singularities:
Computing the topological Zeta-function of isolated surface singularities
in (C^3,0), in D.Cheniot, N.Dutertre et al.(Editors): Singularity Theory,
World Scientific Publishing (2007)

Procedures:

D.5.6.1 intersectionDiv		computes intersection form and genera of exceptional divisors (isolated singularities of surfaces)
D.5.6.2 spectralNeg		computes negative spectral numbers (isolated hypersurface singularity)
D.5.6.3 discrepancy		computes discrepancy of given resolution
D.5.6.4 zetaDL		computes Denef-Loeser zeta function (hypersurface singularity of dimension 2)
D.5.6.5 collectDiv		identify exceptional divisors in different charts (embedded and non-embedded case)
D.5.6.6 prepEmbDiv		prepare list of divisors (including components of strict transform, embedded case)
D.5.6.7 abstractR		pass from embedded to non-embedded resolution
D.5.6.8 computeV		multiplicities of divisors in pullback of volume form
D.5.6.9 computeN		multiplicities of divisors in total transform of resolution