The resultant of an unmixed bivariate system
Tài liệu tham khảo
Busé, L., 2002. Determinantal 1qresultant. Available from math.AG/0210096 (preprint)
Busé, 2001, Resultant over the residual of a complete intersection, J. Pure Appl. Algebra, 164, 35, 10.1016/S0022-4049(00)00144-4
Cattani, 1997, Residues in toric varieties, Compositio Math., 108, 35, 10.1023/A:1000180417349
Chionh, 2001, Rectangular corner cutting and Dixon A-resultants, J. Symbolic Comput., 31, 651, 10.1006/jsco.2001.0448
Cox, 1995, The homogeneous coordinate ring of a toric variety, J. Algebraic Geom., 4, 17
Cox, 1996, Toric residues, Ark. Mat., 34, 73, 10.1007/BF02559508
Cox, 1998
D’Andrea, 2002, Macaulay style formulas for sparse resultants, Trans. Amer. Math. Soc., 354, 2595, 10.1090/S0002-9947-02-02910-0
D’Andrea, 2001, Explicit formulas for the multivariate resultant, J. Pure Appl. Algebra, 164, 59, 10.1016/S0022-4049(00)00145-6
D’Andrea, 2002, Hybrid sparse resultant matrices for bivariate polynomials, J. Symbolic Comput., 33, 587, 10.1006/jsco.2002.0524
Dickenstein, 2002, Multihomogeneous resultant matrices, 46
Eisenbud, D., Fløystad, G., Schreyer, F.-O., 2000. Sheaf cohomology and free resolutions over exterior algebras. Available from math.AG/0104203 (preprint)
Eisenbud, D., Schreyer, F.-O., 2001. Resultants and Chow forms via exterior syzygies. Available from math.AG/0111040 (preprint)
Emiris, I., 1994. Sparse elimination and applications in kinematics. Ph.D. Thesis. Department of Computer Science, University of California, Berkeley
Emiris, 1999, Matrices in elimination theory, J. Symbolic Comput., 28, 3, 10.1006/jsco.1998.0266
Fulton, 1993
Gelfand, 1994
Jouanolou, 1996, Résultant anisotrope, compléments et applications, Electron. J. Combin., 3, 10.37236/1260
Jouanolou, 1997, Formes d’inertie et résultant: un formulaire, Adv. Mathe., 126, 119, 10.1006/aima.1996.1609
Khetan, 2002, Determinantal formula for the Chow form of a toric surface, 145
Koiran, 1997, Randomized and deterministic algorithms for the dimension of algebraic varieties, 36
Manocha, 1992, Real time inverse kinematics of general 6R manipulators, 383
Manocha, 1993, Multipolynomial resultant algorithms, J. Symbolic Comput., 15, 99, 10.1006/jsco.1993.1009
Mustaţă, 2002, Vanishing theorems on toric varieties, Tohoku Math. J. (2), 54, 451, 10.2748/tmj/1113247605
Rojas, 1997, Toric laminations, sparse generalized characteristic polynomials, and a refinement of Hilbert’s tenth problem, 369
Rojas, J.M., 2000. Computing complex dimension faster and deterministically. Available from math.AG/0005028 (preprint)
Weyman, 1994, Determinantal formulas for multigraded resultants, J. Algebraic Geom., 3, 569
Zhang, M., Goldman, R., 2000. Rectangular corner cutting and Sylvester A-resultants. In: Proceedings of the 2000 International Symposium on Symbolic and Algebraic Computation (St. Andrews). New York, ACM, pp. 301–308 (electronic)