Title
An improved algorithm for the resolution of singularities
Abstract
This paper contains several improvements of Villamayor's algorithm for the problem of resolution of the singularities of a hypersurface. The first improves the management of the charts which represent the blown up variety. The second improves the way how new resolution problems are created in the recursion, based on Hironaka's theory of idealistic exponents. The remaining two improve the way how discrete information is used, based on the adaption of Encinas and Villamayor of Abhyankar's theory of good points.
Year
DOI
Venue
2000
10.1145/345542.345570
ISSAC
Keywords
Field
DocType
good point,idealistic exponent,improved algorithm,new resolution problem,discrete information
Combinatorics,Computer science,Resolution of singularities,Algorithm,Hypersurface,Gravitational singularity,Recursion
Conference
ISBN
Citations 
PageRank 
1-58113-218-2
2
0.64
References 
Authors
2
2
Name
Order
Citations
PageRank
Gábor Bodnár1133.72
Josef Schicho2217.70