Algorithms in algebraic geometry and applications . chapter Zeros, Multiplicities, and Idempotents for Zero-dimensional Systems, pp.1-15, 1996. ,
Fast Algorithms for Zero-Dimensional Polynomial Systems using Duality, Applicable Algebra in Engineering, Communication and Computing, vol.14, issue.4, pp.239-272, 2003. ,
DOI : 10.1007/s00200-003-0133-5
URL : https://hal.archives-ouvertes.fr/inria-00072296
Homogeneous Vector Bundles, The Annals of Mathematics, vol.66, issue.2, pp.203-248, 1957. ,
DOI : 10.2307/1969996
Rational univariate representations of bivariate systems and applications, Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation, ISSAC '13, pp.109-116, 2013. ,
DOI : 10.1145/2465506.2465519
URL : https://hal.archives-ouvertes.fr/hal-00802698
Separating linear forms for bivariate systems, Proceedings of the 38th international symposium on International symposium on symbolic and algebraic computation, ISSAC '13, pp.117-124, 2013. ,
DOI : 10.1145/2465506.2465518
URL : https://hal.archives-ouvertes.fr/hal-00809425
Improved algorithm for computing separating linear forms for bivariate systems, Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, ISSAC '14, pp.75-82, 2014. ,
DOI : 10.1145/2608628.2608668
URL : https://hal.archives-ouvertes.fr/hal-00992634
Improved algorithms for solving bivariate systems via Rational Univariate Representations, 2015. ,
DOI : 10.1016/j.jco.2016.07.002
URL : https://hal.archives-ouvertes.fr/hal-01114767
Separating linear forms and Rational Univariate Representations of bivariate systems, Journal of Symbolic Computation, vol.68, issue.1, pp.84-119, 2015. ,
DOI : 10.1016/j.jsc.2014.08.009
URL : https://hal.archives-ouvertes.fr/hal-00977671
Resultants of determinantal varieties, Journal of Pure and Applied Algebra, vol.193, issue.1-3, pp.71-97, 2004. ,
DOI : 10.1016/j.jpaa.2004.02.010
Using projection operators in computer aided geometric design, Comtemporary Mathematics, vol.334, pp.321-342, 2003. ,
DOI : 10.1090/conm/334/05988
Some algebraic and geometric computations in PSPACE, Proceedings of the twentieth annual ACM symposium on Theory of computing , STOC '88, pp.460-467, 1988. ,
DOI : 10.1145/62212.62257
Solving systems of nonlinear polynomial equations faster, Proceedings of the ACM-SIGSAM 1989 international symposium on Symbolic and algebraic computation , ISSAC '89, pp.121-128, 1989. ,
DOI : 10.1145/74540.74556
Solving Polynomial Equations: Foundations, Algorithms, and Applications, chapter Introduction to residues and resultants, pp.1-61, 2005. ,
DOI : 10.1007/3-540-27357-3_1
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.163.8297
Mixed discriminants, Mathematische Zeitschrift, vol.6, issue.2, pp.761-778, 2013. ,
DOI : 10.1007/s00209-012-1095-8
Resultants for unmixed bivariate polynomial systems produced using the Dixon formulation, Journal of Symbolic Computation, vol.38, issue.2, pp.915-958, 2004. ,
DOI : 10.1016/j.jsc.2003.12.001
URL : http://doi.org/10.1016/j.jsc.2003.12.001
Conditions for exact resultants using the Dixon formulation, Proceedings of the 2000 international symposium on Symbolic and algebraic computation symbolic and algebraic computation , ISSAC '00, pp.62-70, 2000. ,
DOI : 10.1145/345542.345583
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.23.574
Tate resolutions for Segre embeddings, Algebra & Number Theory, vol.2, issue.5, pp.523-550, 2008. ,
DOI : 10.2140/ant.2008.2.523
URL : http://arxiv.org/abs/0711.0550
Explicit formulas for the multivariate resultant, Journal of Pure and Applied Algebra, vol.164, issue.1-2, pp.59-86, 2001. ,
DOI : 10.1016/S0022-4049(00)00145-6
Hybrid sparse resultant matrices for bivariate systems, Proc. ACM ISSAC, pp.24-31, 2001. ,
Multihomogeneous resultant formulae by means of complexes, Journal of Symbolic Computation, vol.36, issue.3-4, pp.317-342, 2003. ,
DOI : 10.1016/S0747-7171(03)00086-5
SAGA ? Advances in ShApes, Geometry, and Algebra , chapter Plane Mixed Discriminants and Toric Jacobians, pp.105-121, 2014. ,
DOI : 10.1007/978-3-319-08635-4_6
URL : http://arxiv.org/abs/1304.5809
Systems of three polynomials with two separated variables, Proceedings of the 2007 international symposium on Symbolic and algebraic computation , ISSAC '07, pp.159-166, 2007. ,
DOI : 10.1145/1277548.1277571
URL : https://hal.archives-ouvertes.fr/inria-00192826
Root counts of semi-mixed systems, and an application to counting nash equilibria, Proceedings of the 39th International Symposium on Symbolic and Algebraic Computation, ISSAC '14, pp.154-161, 2014. ,
DOI : 10.1145/2608628.2608679
Future Vision and Trends on Shapes, Geometry and Algebra, chapter Sparse Discriminants and Applications, pp.55-71 ,
DOI : 10.1007/978-1-4471-6461-6_4
Multihomogeneous resultant formulae for systems with scaled support, Journal of Symbolic Computation, vol.47, issue.7, pp.820-842, 2012. ,
DOI : 10.1016/j.jsc.2011.12.010
URL : http://arxiv.org/abs/0904.4064
Matrices in Elimination Theory, Journal of Symbolic Computation, vol.28, issue.1-2, pp.3-44, 1999. ,
DOI : 10.1006/jsco.1998.0266
Improved algorithms for computing determinants and resultants, Journal of Complexity, vol.21, issue.1, pp.43-71, 2005. ,
DOI : 10.1016/j.jco.2004.03.003
On the Bit Complexity of Solving Bilinear Polynomial Systems, Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation, ISSAC '16, pp.215-222, 2016. ,
DOI : 10.1145/2930889.2930919
URL : https://hal.archives-ouvertes.fr/hal-01401134
The discriminant of a system of equations, Advances in Mathematics, vol.245, pp.534-572, 2013. ,
DOI : 10.1016/j.aim.2013.06.027
Discriminants , Resultants and Multidimensional Determinants, Birkhäuser, 1994. ,
DOI : 10.1007/978-0-8176-4771-1
Algebraic Geometry, 1977. ,
DOI : 10.1007/978-1-4757-3849-0
The resultant of an unmixed bivariate system, Journal of Symbolic Computation, vol.36, issue.3-4, pp.425-442, 2003. ,
DOI : 10.1016/S0747-7171(03)00089-0
Sylvester Aresultants for bivariate polynomials with planar Newton polygons, Proc. ACM ISSAC, pp.205-212, 2004. ,
DOI : 10.1145/1005285.1005316
Some Formulae in Elimination, Proceedings of the London Mathematical Society, vol.1, issue.1, pp.1-35, 1902. ,
DOI : 10.1112/plms/s1-35.1.3
Deflation and certified isolation of singular zeros of polynomial systems, Proceedings of the 36th international symposium on Symbolic and algebraic computation, ISSAC '11, pp.249-256, 2011. ,
DOI : 10.1145/1993886.1993925
URL : https://hal.archives-ouvertes.fr/inria-00556021
Singular Zeros of Polynomial Systems, Advances in Shapes, Geometry, and Algebra of Geometry and Computing, pp.77-103 ,
DOI : 10.1007/978-3-319-08635-4_5
URL : https://hal.archives-ouvertes.fr/inria-00556021
On the resultant of a system of forms homogeneous in each of several sets of variables, Transactions of the American Mathematical Society, vol.35, issue.1, pp.215-233, 1933. ,
DOI : 10.1090/S0002-9947-1933-1501679-6
The maximum number of real roots of a multihomogeneous system of polynomial equations. Contributions to Algebra and Geometry, pp.343-350, 1999. ,
Combinatorial commutative algebra, 2004. ,
THE RESULTANT OF A SET OF HOMOGENEOUS LINEO-LINEAR EQUATIONS, Transactions of the Royal Society of South Africa, vol.2, issue.1, pp.373-380, 1910. ,
DOI : 10.1080/00359191009519397
Solving zero-dimensional systems through the rational univariate representation Applicable Algebra in Engineering, Communication and Computing, vol.9, issue.5, pp.433-461, 1999. ,
A case study in bigraded commutative algebra, pp.67-112, 2007. ,
Multigraded Resultants of Sylvester Type, Journal of Algebra, vol.163, issue.1, pp.115-127, 1994. ,
DOI : 10.1006/jabr.1994.1007
URL : http://doi.org/10.1006/jabr.1994.1007
On the Degree and Weight of the Resultant of a Multipartite System of Equations, Proceedings of the Royal Society of London, vol.12, issue.0, pp.674-676 ,
DOI : 10.1098/rspl.1862.0149
Calculating discriminants by higher direct images, Transactions of the American Mathematical Society, vol.343, issue.1, pp.367-389, 1994. ,
DOI : 10.1090/S0002-9947-1994-1184118-6
Cohomology of Vector Bundles and Syzygies, 2003. ,
DOI : 10.1017/CBO9780511546556
Determinantal formulas for multigraded resultants, Journal of Algebraic Geometry, vol.3, issue.4, pp.569-597, 1994. ,
Rectangular corner cutting and Sylvester A-resultants, Proceedings of the 2000 international symposium on Symbolic and algebraic computation symbolic and algebraic computation , ISSAC '00, pp.301-308, 2000. ,
DOI : 10.1145/345542.345659