Name
Abstract | ||
|---|---|---|
In this paper we propose the concept of formal desingularizations as a substitute for the resolution of algebraic varieties. Though a usual resolution of algebraic varieties provides more information on the structure of singularities there is evidence that the weaker concept is enough for many computational purposes. We give a detailed study of the Jung method and show how it facilitates an efficient computation of formal desingularizations for projective surfaces over a field of characteristic zero, not necessarily algebraically closed. The paper includes a constructive extension of the Theorem of Jung-Abhyankar, a generalization of Duval's Theorem on rational Puiseux parametrizations to the multivariate case and a detailed description of a system for multivariate algebraic power series computations. |
Year | DOI | Venue |
|---|---|---|
2009 | 10.1016/j.jsc.2008.07.001 | J. Symb. Comput. |
Keywords | DocType | Volume |
quasi-ordinary polynomials.,multivariate algebraic power series,multivariate case,characteristic zero,algebraic power series,usual resolution,algebraic variety,. resolution of singularities,detailed study,weaker concept,Quasi-ordinary polynomials,Resolution of singularities,formal desingularizations,Jung method,detailed description,Algebraic power series | Journal | 44 |
Issue | ISSN | Citations |
2 | Journal of Symbolic Computation | 1 |
PageRank | References | Authors |
0.35 | 9 | 1 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tobias Beck | 1 | 7 | 1.63 |