Name
Abstract | ||
|---|---|---|
We study birational maps with empty base locus defined by almost complete intersection ideals. Birationality is shown to be expressed by the equality of two Chern numbers. We provide a relatively effective method for their calculation in terms of certain Hilbert coefficients. In dimension 2 the structure of the irreducible ideals-always complete intersections by a classical theorem of Serre-leads by a natural approach to the calculation of Sylvester determinants. We introduce a computer-assisted method (with a minimal intervention by the computer) which succeeds, in degree @?5, in producing the full sets of equations of the ideals. In the process, it answers affirmatively some questions raised by Cox [Cox, D.A., 2006. Four conjectures: Two for the moving curve ideal and two for the Bezoutian. In: Proceedings of Commutative Algebra and its Interactions with Algebraic Geometry, CIRM, Luminy, France, May 2006 (available in CD media)]. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.jsc.2007.10.010 | J. Symb. Comput. |
Keywords | DocType | Volume |
Rees algebra,complete intersection,Chern number,Birational map,Elimination,computer-assisted method,birational map,Special fiber,Commutative Algebra,effective method,Algebraic Geometry,CD media,Sylvester determinant,two-dimensional elimination,Almost complete intersection,complete intersection ideal | Journal | 43 |
Issue | ISSN | Citations |
4 | Journal of Symbolic Computation | 4 |
PageRank | References | Authors |
0.62 | 5 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. Hong | 1 | 4 | 0.96 |
| Aron Simis | 2 | 18 | 3.80 |
| Wolmer V. Vasconcelos | 3 | 9 | 1.74 |