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1989), Automatic parsing of degenerate quadric surface intersections, ACM Transactions on Graphics, Vol. 8, pp. 174-203. 26. Foo, M. and Chionh, E. (2004), Corner edge cutting and Dixon A-resultant quotients, Journal of Symbolic Computation, Vol. 37, pp. 101-119. 27. Gelfand, I. , Kapranov, M. M. and Zelevinsky, A. V. (1994), Discriminants, Resultants and Multidimensional Determinants, Boston, Birkhauser. 28. Goldman, R. (2002), Pyramid Algorithms: A Dynamic Programming Approach to Curves and Surfaces for Geometric Modeling, Morgan Kaufmann.

Notice 0 (SI ) is the torsion part of SI when Γ = V . that Hm Remark 5. The choices of gradings are one of the delicate points in this 0 approach. For instance, the hypothesis Hm (SI )µ = 0 is equivalent to 0 SymjR (I) Hm µ+dj = 0, ∀j, if we adopt the natural grading of SymjR (I) making the canonical map SymjR (I)−→I j ⊂ R a homogeneous map of degree zero. A candidate for a resolution of SI is the Z-complex introduced and studied by Herzog, Simis and Vasconcelos. We will decribe this complex in the next section.

1999), Matrices in elimination theory, Journal of Symbolic Computation, Vol. 28, pp. 3-44. 24. Farin, G. , San Diego. 25. , and O’Connor, M. (1989), Automatic parsing of degenerate quadric surface intersections, ACM Transactions on Graphics, Vol. 8, pp. 174-203. 26. Foo, M. and Chionh, E. (2004), Corner edge cutting and Dixon A-resultant quotients, Journal of Symbolic Computation, Vol. 37, pp. 101-119. 27. Gelfand, I. , Kapranov, M. M. and Zelevinsky, A. V. (1994), Discriminants, Resultants and Multidimensional Determinants, Boston, Birkhauser.

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4th Geometry Festival, Budapest


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