Registro:

Referencias:

• 4ti2-A software package for algebraic, geometric and combinatorial problems, , http://www.4ti2.de, 4ti2 team, on linear spaces. Available at
• Adkins, W.A., Hoffman, J.W., Wang, H.H., Equations of parametric surfaces with base points via syzygies (2005) J. Symbolic Comput., 39 (1), pp. 73-101
• Aruliah, D.A., Corless, R.M., Gonzalez-Vega, L., Shakoori, A., Geometric applications of the Bezout matrix in the Lagrange basis (2007) SNC '07: Proceedings of the 2007 International Workshop on Symbolic-Numeric Computation, pp. 55-64. , London, Ontario, Canada, pp
• Brodmann, M.P., Sharp, R.Y., Local Cohomology: An Algebraic Introduction with Geometric Applications (1998) Cambridge Studies in Advanced Mathematics, 60. , Cambridge University Press, Cambridge
• Bruns, W., Herzog, J., Cohen-Macaulay Rings (1993) Cambridge Studies in Advanced Mathematics. first ed., 39. , Cambridge University Press, Cambridge
• Busé, L., Chardin, M., Implicitizing rational hypersurfaces using approximation complexes (2005) J. Symbolic Comput., 40 (4-5), pp. 1150-1168
• Busé, L., Chardin, M., Jouanolou, J.-P., Torsion of the symmetric algebra and implicitization (2009) Proc. Amer. Math. Soc., 137, pp. 1855-1865
• Busé, L., Cox, D., D'Andrea, C., Implicitization of surfaces in P3 in the presence of base points (2003) J. Algebra Appl., 2 (2), pp. 189-214
• Busé, L., Dohm, M., Implicitization of bihomogeneous parametrizations of algebraic surfaces via linear syzygies (2007) Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC, pp. 69-76
• Busé, L., Jouanolou, J.-P., On the closed image of a rational map and the implicitization problem (2003) J. Algebra, 265 (1), pp. 312-357
• Chardin, M., Applications of some properties of the canonical module in computational projective algebraic geometry. Symbolic computation in algebra, analysis, and geometry (2000) J. Symbolic Comput., 29 (4-5), pp. 527-544
• Chardin, M., (2004) Regularity of ideals and their powers, , Prépublication 364, Institut de Mathématiques de Jussieu
• Chardin, M., Implicitization using approximation complexes (2006) Math. Vis, pp. 23-35. , Algebraic Geometry and Geometric Modeling, Springer, Berlin
• Cox, D.A., Equations of parametric curves and surfaces via syzygies (2001) Contemp. Math., 286, pp. 1-20. , Symbolic Computation: Solving Equations in Algebra, Geometry, and Engineering. South Hadley, MA, 2000, Amer. Math. Soc., Providence, RI
• Cox, D., Curves, surfaces, and syzygies (2003) Contemp. Math., 334, pp. 131-150. , Topics in Algebraic Geometry and Geometric Modeling, Amer. Math. Soc., Providence, RI
• Cox, D., What is a toric variety? (2003) Contemp. Math., 334, pp. 203-223. , Topics in Algebraic Geometry and Geometric Modeling, Amer. Math. Soc., Providence, RI
• Dohm, M., (2008) Implicitization of rational algebraic surfaces with syzygy-based methods, , http://tel.archives-ouvertes.fr/tel-00294484/en, Ph.D. thesis, Université de Nice-Sophia Antipolis, Nice, France. Electronic version available at
• Fulton, W., Introduction to Toric Varieties (1993) Annals of Mathematics Studies, 131. , Princeton University Press, Princeton, NJ
• Gelfand, I.M., Kapranov, M.M., Zelevinsky, A.V., (1994) Discriminants, Resultants, and Multidimensional Determinants, , Birkhäuser Boston Inc., Boston, MA
• Grayson, D.R., Stillman, M.E., Macaulay, 2. , http://www.math.uiuc.edu/Macaulay2, a software system for research in algebraic geometry. Available at
• Haase, C., Hibi, T., Maclagan, D., Report of the mini-workshop on projective normality of smooth toric varieties, , http://www.mfo.de, Oberwolfach Report No. 39/2007. Available at
• Herzog, J., Simis, A., Vasconcelos, W.V., Koszul homology and blowing-up rings (1983) Lecture Notes in Pure and Appl. Math., 84, pp. 79-169. , Commutative Algebra. Trento, 1981, Dekker, New York
• Khetan, A., D'Andrea, C., Implicitization of rational surfaces using toric varieties (2006) J. Algebra, 303 (2), pp. 543-565
• Manocha, D., Solving systems of polynomial equations (1994) Computer Graphics and Applications, 14, pp. 46-55
• Miller, E., Sturmfels, B., Combinatorial Commutative Algebra (2005) Graduate Texts in Mathematics, 227. , Springer-Verlag, New York
• Pérez-Díaz, S., On the problem of proper reparametrization for rational curves and surfaces (2006) Comput. Aided Geom. Design, 23 (4), pp. 307-323
• Schicho, J., Simplification of surface parametrizations-a lattice polygon approach (2003) J. Symbolic Comput., 36 (3-4), pp. 535-554
• Sederberg, T., Chen, F., Implicitization using moving curves and surfaces (1995) Computer Graphics Annual Conference Series, pp. 301-308
• Sederberg, T., Goldman, R., Du, H., Implicitizing rational curves by the method of moving algebraic curves (1997) J. Symbolic Comput., 23, pp. 153-175
• Sederberg, T.W., Saito, T., Qi, D.X., Klimaszewski, K.S., Curve implicitization using moving lines (1994) Comput. Aided Geom. Design, 11, pp. 687-706
• Sullivant, S., (2006) Combinatorial symbolic powers, , http://arxiv.org/abs/math/0608542v3, Available at
• Vasconcelos, W.V., Arithmetic of Blowup Algebras (1994) London Mathematical Society Lecture Note Series, 195. , Cambridge University Press, Cambridge

Citas:

---------- APA ----------

---------- CHICAGO ----------

---------- MLA ----------

---------- VANCOUVER ----------