Paper Info
Title
Efficient desingularization of reducible algebraic sets
Abstract
In this paper we present a resolution strategy that uses a modification of Villamayor's algorithm as a subroutine and combines resolutions of irreducible (or at least equidimensional) components of a given algebraic set X⊂ W to compute an embedded resolution of singularities of X. The arising algorithm extends the scope of Villamayor's algorithm from equidimensional algebraic sets to the general case. The ideas also serve well in improving the efficiency of resolutions, using the prime ideal decomposition of the (radical) vanishing ideal of X
Year
DOI
Venue
2004
10.1145/1005285.1005293
ISSAC
Keywords
Field
DocType
resolution strategy,equidimensional algebraic,reducible algebraic set,embedded resolution,prime ideal decomposition,general case,efficient desingularization
Discrete mathematics,Algebraic number,Equidimensional,Subroutine,Algebra,Resolution of singularities,Algebraic set,Prime ideal,Mathematics
Conference
ISBN
Citations 
PageRank 
1-58113-827-X
0
0.34
References 
Authors
3
1
Name
Order
Citations
PageRank
Gábor Bodnár1133.72