Top
Back: DeltaList
Forward: intersectionDiv
FastBack:
FastForward:
Up: Singular Manual
Top: Singular Manual
Contents: Table of Contents
Index: Index
About: About this document

D.5.9 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.5.9.1 intersectionDiv  computes intersection form and genera of exceptional divisors (isolated singularities of surfaces)
D.5.9.2 spectralNeg  computes negative spectral numbers (isolated hypersurface singularity)
D.5.9.3 discrepancy  computes discrepancy of given resolution
D.5.9.4 zetaDL  computes Denef-Loeser zeta function (hypersurface singularity of dimension 2)
D.5.9.5 collectDiv  identify exceptional divisors in different charts (embedded and non-embedded case)
D.5.9.6 prepEmbDiv  prepare list of divisors (including components of strict transform, embedded case)
D.5.9.7 abstractR  pass from embedded to non-embedded resolution
D.5.9.8 computeV  multiplicities of divisors in pullback of volume form
D.5.9.9 computeN  multiplicities of divisors in total transform of resolution


Top Back: DeltaList Forward: intersectionDiv FastBack: FastForward: Up: Singular Manual Top: Singular Manual Contents: Table of Contents Index: Index About: About this document
            User manual for Singular version 4-0-3, 2016, generated by texi2html.