Registro:

Referencias:

• Adkins, W., Hoffman, J.W., Wang, H.H., Equations of parametric surfaces with basepoints via syzygies (2005) J. Symbolic Comput., 39, pp. 73-101
• Aramova, A., Crona, K., De Negri, E., Bigeneric initial ideals, diagonal subalgebras and bigraded Hilbert functions (2000) J. Pure Appl. Algebra, 150, pp. 215-235
• Artin, M., Nagata, M., Residual intersections in Cohen-Macaulay rings (1972) J. Math. Kyoto Univ., 12, pp. 302-323
• Bruns, W., Jede endlich frei Auflösung ist freie Auflösung eines von drei Elementen erzeugten Ideals (1976) J. Algebra, 39, pp. 429-439
• Busé, L., Chardin, M., Implicitizing rational hypersurfaces using approximation complexes (2005) J. Symbolic Comput., 40, pp. 1150-1168
• Busé, L., Cox, D., D’Andrea, C., Implicitization of surfaces in P3 in the presence of base points (2003) J. Algebra Appl., 2, pp. 189-214
• Busé, L., Jouanolou, J.P., On the closed image of a rational map and the implicitization problem (2003) J. Algebra, 265, pp. 312-357
• Chen, F., Cox, D., Liu, Y., The µ-basis of a rational parametric surface (2005) J. Symbolic Comput., 39, pp. 689-706
• Cox, D., Equations of parametric curves and surfaces via syzygies (2001) Contemporary Mathematics, 286, pp. 1-20. , AMS, Providence, RI
• Cox, D., Goldman, R., Zhang, M., On the validity of implicitization by moving quadrics for rational surfaces with no base points (2000) J. Symbolic Comput., 29, pp. 419-440
• Cox, D., Little, J., O’Shea, D., (2004) Using Algebraic Geometry, , second edition, Springer-Verlag, Berlin-Heidelberg-New York
• Cox, D., Sederberg, T., Chen, F., The moving line ideal basis of planar rational curves (1998) Comput. Aided Geom. Design, 15, pp. 419-440
• Dickenstein, A., Emiris, I., Multihomogeneous resultant formulae by means of complexes (2003) J. Symbolic Comput., 34, pp. 317-342
• Dieudonné, J., Grothendieck, A., (1963) Éléments de Géométrie Algébrique III, , Publications Mathématiques 17, IHES, Bures-sur-Yvette
• Eisenbud, D., (1995) Commutative Algebra with a view towards Algebraic Geometry, , Springer-Verlag, Berlin-Heidelberg-New York
• Elkadi, M., Galligo, A., Lê, T.H., Parametrized surfaces in P3 of bidegree (1, 2) (2004) Proceedings of the 2004 International Symposium on Symbolic and Algebraic Computation, pp. 141-148. , ACM, New York
• Griffiths, P., Harris, J., (1978) Principles of Algebraic Geometry, , Wiley, New York
• Giuffrida, S., Maggioni, R., Ragusa, A., On the postulation of 0-dimensional subschemes on a smooth quadric (1992) Pacific J. Math., 155, pp. 251-282
• Há, H., Van Tuyl, A., The regularity of points in multiprojective spaces (2004) J. Pure Appl. Algebra, 187, pp. 153-167
• Harris, J., (1992) Algebraic Geometry, , A First Course, Springer-Verlag, Berlin-Heidelberg-New York
• Hartshorne, R., (1977) Algebraic Geometry, , Springer-Verlag, Berlin- Heidelberg-New York
• Hoffman, J.W., Wang, H.H., Castelnuovo-Mumford regularity in biprojective spaces (2004) Advances in Geometry, 4, pp. 513-536
• Huneke, C., Ulrich, B., Residual intersections (1988) J. reine ang. Math., 390, pp. 1-20
• Maclagan, D., Smith, G.G., Multigraded Castelnuovo-Mumford Regularity (2004) J. reine ang. Math., 571, pp. 179-212
• Maclagan, D., Thomas, R., The toric Hilbert scheme of a rank two lattice is smooth and irreducible (2003) J. Combin. Theory Ser. A, 104, pp. 29-48
• Migliore, J., Introduction to Liaison Theory and Deficiency Modules (1998) Progress in Math., 165. , Birkhäuser, Basel-Berlin-Boston
• Migliore, J., Miró-Roig, R.M., On the minimal free resolution of n + 1 generic forms (2003) Trans. Amer. Math. Soc., 355, pp. 1-36
• Peeva, I., Stillman, M., Local equations for the toric Hilbert scheme (2000) Adv. in Appl. Math., 25, pp. 307-321
• Peeva, I., Stillman, M., Toric Hilbert schemes (2002) Duke Math. J., 111, pp. 419-449
• Peskine, C., Szpiro, L., Liaison des variétés algébriques (1974) Invent. Math., 26, pp. 271-302
• Römer, T., Homological properties of bigraded algebras (2001) Illinois J. Math., 45, pp. 1361-1376
• Schenck, H., (2003) Computational Algebraic Geometry, , Cambridge University Press
• Sederberg, T., Chen, F., Implicitization using moving curves and surfaces (1995) Proceedings of SIGGRAPH 1995, pp. 301-308. , ACM
• Sidman, J., Van Tuyl, A., Multigraded regularity: Syzygies and fatpoints (2006) Beiträge Algebra Geom., 47, pp. 67-87. , http://www.emis.de/journals/BAG/vol.47/no.1/6.html, the arXiv version math.AC/0405247, (Due to a mixup of electronic files, the published version is not up-to-date. Consult the online version.)
• Stillman, M., Sturmfels, B., Thomas, R., Algorithms for the toric Hilbert scheme (2002) Computations in algebraic geometry with Macaulay, 2, pp. 179-214. , Algorithms Comput. Math. 8, Springer, Berlin
• Sturmfels, B., (1996) Gröbner Bases and Convex Polytopes, , University Lecture Series 8, AMS
• Van Tuyl, A., The border of the Hilbert function of a set of points in Pn1 ×…×Pnk (2002) J. Pure Appl. Algebra, 176, pp. 223-247

Citas:

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

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

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

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