M. E. Alonso, E. Becker, M. Roy, and T. Wörmann, Algorithms in algebraic geometry and applications . chapter Zeros, Multiplicities, and Idempotents for Zero-dimensional Systems, pp.1-15, 1996.

A. Bostan, B. Salvy, and . Schost, 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

R. Bott, Homogeneous Vector Bundles, The Annals of Mathematics, vol.66, issue.2, pp.203-248, 1957.
DOI : 10.2307/1969996

Y. Bouzidi, S. Lazard, M. Pouget, and F. Rouillier, 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

Y. Bouzidi, S. Lazard, M. Pouget, and F. Rouillier, 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

Y. Bouzidi, S. Lazard, G. Moroz, M. Pouget, and F. Rouillier, 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

Y. Bouzidi, S. Lazard, G. Moroz, M. Pouget, F. Rouillier et al., 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

Y. Bouzidi, S. Lazard, M. Pouget, and F. Rouillier, 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

L. Busé, 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

L. Busé, M. Elkadi, and B. Mourrain, Using projection operators in computer aided geometric design, Comtemporary Mathematics, vol.334, pp.321-342, 2003.
DOI : 10.1090/conm/334/05988

J. Canny, 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

J. F. Canny, E. Kaltofen, and L. Yagati, 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

E. Cattani and A. Dickenstein, 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

E. Cattani, M. A. Cueto, A. Dickenstein, S. D. Rocco, and B. Sturmfels, Mixed discriminants, Mathematische Zeitschrift, vol.6, issue.2, pp.761-778, 2013.
DOI : 10.1007/s00209-012-1095-8

A. Chtcherba and D. Kapur, 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

A. D. Chtcherba and D. Kapur, 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

D. Cox and E. Materov, 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

C. D. Andrea and A. Dickenstein, 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

C. D. Andrea and I. Z. Emiris, Hybrid sparse resultant matrices for bivariate systems, Proc. ACM ISSAC, pp.24-31, 2001.

A. Dickenstein and I. Z. Emiris, 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

A. Dickenstein, I. Z. Emiris, and A. Karasoulou, 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

M. Elkadi and A. Galligo, 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

I. Emiris and R. Vidunas, 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

I. Z. Emiris and A. Karasoulou, 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

I. Z. Emiris and A. Mantzaflaris, 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

I. Z. Emiris and B. Mourrain, Matrices in Elimination Theory, Journal of Symbolic Computation, vol.28, issue.1-2, pp.3-44, 1999.
DOI : 10.1006/jsco.1998.0266

I. Z. Emiris and V. Y. Pan, 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

I. Z. Emiris, A. Mantzaflaris, and E. Tsigaridas, 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

A. Esterov, The discriminant of a system of equations, Advances in Mathematics, vol.245, pp.534-572, 2013.
DOI : 10.1016/j.aim.2013.06.027

I. Gelfand, M. Kapranov, and A. Zelevinsky, Discriminants , Resultants and Multidimensional Determinants, Birkhäuser, 1994.
DOI : 10.1007/978-0-8176-4771-1

R. Hartshorne, Algebraic Geometry, 1977.
DOI : 10.1007/978-1-4757-3849-0

A. Khetan, 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

A. Khetan, N. Song, and R. Goldman, Sylvester Aresultants for bivariate polynomials with planar Newton polygons, Proc. ACM ISSAC, pp.205-212, 2004.
DOI : 10.1145/1005285.1005316

F. S. Macaulay, 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

A. Mantzaflaris and B. Mourrain, 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

A. Mantzaflaris and B. Mourrain, 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

N. Mccoy, 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

A. Mclennan, The maximum number of real roots of a multihomogeneous system of polynomial equations. Contributions to Algebra and Geometry, pp.343-350, 1999.

E. Miller and B. Sturmfels, Combinatorial commutative algebra, 2004.

T. Muir, 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

F. Rouillier, Solving zero-dimensional systems through the rational univariate representation Applicable Algebra in Engineering, Communication and Computing, vol.9, issue.5, pp.433-461, 1999.

H. Schenck, D. Cox, and A. Dickenstein, A case study in bigraded commutative algebra, pp.67-112, 2007.

B. Sturmfels and A. Zelevinsky, 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

J. Sylvester, 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

J. Weyman, 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

J. Weyman, Cohomology of Vector Bundles and Syzygies, 2003.
DOI : 10.1017/CBO9780511546556

J. Weyman and A. Zelevinsky, Determinantal formulas for multigraded resultants, Journal of Algebraic Geometry, vol.3, issue.4, pp.569-597, 1994.

M. Zhang and R. Goldman, 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