R. Bott, Homogeneous vector bundles, Annals of Mathematics, vol.66, issue.2, pp.203-248, 1957.

L. Busé, Resultants of determinantal varieties, Journal of Pure and Applied Algebra, vol.193, issue.13, pp.71-97, 2004.

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

J. F. Canny, E. Kaltofen, and L. Yagati, Solving systems of nonlinear polynomial equations faster, Proc. ISSAC, pp.121-128, 1989.

E. Cattani and A. Dickenstein, Solving Polynomial Equations: Foundations, Algorithms, and Applications, chapter Introduction to residues and resultants, pp.1-61, 2005.

E. Cattani, M. A. Cueto, A. Dickenstein, S. D. Rocco, and B. Sturmfels, Mixed discriminants, Mathematische Zeitschrift, vol.274, issue.3, pp.761-778, 2013.

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.

A. D. Chtcherba and D. Kapur, Conditions for exact resultants using the dixon formulation, Proc. Int'l Symposium on Symbolic and Algebraic Computation, ISSAC, pp.62-70, 2000.

D. Cox and E. Materov, Tate resolutions for Segre embeddings. Algebra & Number Theory, vol.2, pp.523-550, 2008.

C. , Macaulay style formulas for sparse resultants, Transactions of the American Mathematical Society, vol.354, issue.7, pp.2595-2629, 2002.

C. and A. Dickenstein, Explicit formulas for the multivariate resultant, J. Pure and Applied Algebra, vol.164, issue.1-2, pp.59-86, 2001.

C. and I. Z. Emiris, Hybrid sparse resultant matrices for bivariate systems, Proc. of the 2001 Int'l Symposium on Symbolic and Algebraic Computation, ISSAC, pp.24-31, 2001.

M. Demazure, , vol.58, pp.333-373, 2012.

A. Dickenstein and I. Z. Emiris, Multihomogeneous resultant formulae by means of complexes, Journal of Symbolic Computation, vol.36, issue.3, pp.317-342, 2003.

A. Dickenstein, I. Z. Emiris, and A. Karasoulou, SAGA -Advances in ShApes, Geometry, and Algebra: Results from the Marie Curie Initial Training Network, chapter Plane Mixed Discriminants and Toric Jacobians, pp.105-121, 2014.

C. Dandrea and M. Sombra, A poisson formula for the sparse resultant, Proceedings of the London Mathematical Society, vol.110, issue.4, pp.932-964, 2015.

M. Elkadi and A. Galligo, Systems of three polynomials with two separated variables, Proc. Int'l Symposium on Symbolic and Algebraic Computation, ISSAC, pp.159-166, 2007.
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, Proc. ACM ISSAC, pp.154-161, 2014.

I. Z. Emiris and A. Karasoulou, Future Vision and Trends on Shapes, Geometry and Algebra, chapter Sparse Discriminants and Applications, pp.55-71, 2014.

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.

I. Z. Emiris and B. Mourrain, Matrices in elimination theory, Journal of Symbolic Computation, vol.28, issue.1, pp.3-44, 1999.

I. Z. Emiris and V. Y. Pan, Symbolic and Numeric Methods for Exploiting Structure in Constructing Resultant Matrices, Journal of Symbolic Computation, vol.33, issue.4, pp.393-413, 2002.

I. Z. Emiris and V. Y. Pan, Improved algorithms for computing determinants and resultants, J. of Complexity, vol.21, issue.1, pp.43-71, 2005.

A. Esterov, The discriminant of a system of equations, Advances in Mathematics, vol.245, pp.534-572, 2013.

I. Gelfand, M. Kapranov, and A. Zelevinsky, Discriminants, Resultants and Multidimensional Determinants, Birkhäuser, 1994.

R. Hartshorne, Algebraic Geometry, 1977.

A. Khetan, The resultant of an unmixed bivariate system, Journal of Symbolic Computation, vol.36, issue.3-4, pp.425-442, 2003.

A. Khetan, N. Song, R. Goldman, and . Sylvester, A-resultants for Bivariate Polynomials with Planar Newton Polygons, Proc. Int'l Symposium on Symbolic and Algebraic Computation, ISSAC, pp.205-212, 2004.

F. S. Macaulay, Some formulaein elimination, Proceedings of the London Mathematical Society, issue.1, pp.3-27, 1902.

A. Mantzaflaris and B. Mourrain, Deflation and certified isolation of singular zeros of polynomial systems, Proc. ACM ISSAC, pp.249-256, 2011.
URL : https://hal.archives-ouvertes.fr/inria-00556021

A. Mantzaflaris and B. Mourrain, Singular zeros of polynomial systems, Advances in Shapes, Geometry, and Algebra, vol.10, pp.77-103
URL : https://hal.archives-ouvertes.fr/inria-00556021

. Springer, , 2014.

A. Mantzaflaris and E. Tsigaridas, Resultants and discriminants for bivariate tensor-product polynomials, Proc. Int'l Symposium on Symbolic and Algebraic Computation (ISSAC), p.8, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01525560

N. Mccoy, On the resultant of a system of forms homogeneous in each of several sets of variables, Trans. AMS, vol.35, issue.1, pp.215-233, 1933.

A. Mclennan, The maximum number of real roots of a multihomogeneous system of polynomial equations. Contributions to Algebra and Geometry, vol.40, pp.343-350, 1999.

E. Miller and B. Sturmfels, Combinatorial commutative algebra, vol.227, 2004.

T. Muir, The resultant of a set of lineo-linear equations, Proc. Royal Soc. of South Africa, vol.2, issue.1, pp.373-380, 1910.

H. Schenck, D. Cox, and A. Dickenstein, A case study in bigraded commutative algebra, Syzygies & Hilbert Functions, vol.254, pp.67-112, 2007.

B. Sturmfels and A. Zelevinsky, Multigraded resultants of Sylvester type, J. Algebra, vol.163, issue.1, pp.115-127, 1994.

J. Sylvester, On the degree and weight of the resultant of a multipartite system of equations, Proc. Royal Soc. of London, vol.12, pp.674-676, 1862.

J. Weyman, Calculating discriminants by higher direct images, Trans. of AMS, vol.343, issue.1, pp.367-389, 1994.

J. Weyman, Cohomology of Vector Bundles and Syzygies, 2003.

J. Weyman and A. Zelevinsky, Determinantal formulas for multigraded resultants, J. Alg. Geom, vol.3, issue.4, pp.569-597, 1994.

M. Zhang and R. Goldman, Rectangular corner cutting and sylvester A-resultants, Proc. Int'l Symposium on Symbolic and Algebraic Computation, ISSAC, pp.301-308, 2000.