Details:
Title  On the homology of twodimensional elimination  Author(s)  Jooyoun Hong, Aron Simis, Wolmer V. Vasconcelos  Type  Article in Journal  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 computerassisted 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)].  Keywords  Almost complete intersection, Birational map, Elimination, Rees algebra, Special fiber, Sylvester determinant  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717107001393 
Language  English  Journal  Journal of Symbolic Computation  Volume  43  Number  4  Pages  275  292  Year  2008  Edition  0  Translation 
No  Refereed 
No 
