Formes d'inertie et complexe de koszul associésassociésà des polynômes plurihomogenes, Revista Matematica Complutense, vol.18, issue.1, pp.243-260, 2005. ,
What can be computed in algebraic geometry?, Proc. Comp. Alg. Geom. and Commut. Algebra, pp.1-48 ,
Bilinear systems with two supports: Koszul resultant matrices, eigenvalues, and eigenvectors, Proc. ACM ISSAC. ACM, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01787549
Fewnomial bounds for completely mixed polynomial systems, Advances in Geometry, vol.30, issue.23, pp.541-556, 2011. ,
DOI : 10.1016/j.jsc.2008.02.016
URL : http://arxiv.org/pdf/0905.4543v1.pdf
Implicitization of rational maps, 2011. ,
Castelnuovo Mumford regularity with respect to multigraded ideals, Journal of Algebra, vol.474, pp.361-392, 2017. ,
DOI : 10.1016/j.jalgebra.2016.11.017
Algèbre: chapitre 10, Algèbre homologique, vol.9, 2007. ,
DOI : 10.1007/978-3-540-35316-4
Local Cohomology: An Algebraic Introduction with Geometric Applications, 2013. ,
Some results and questions on castelnuovo-mumford regularity, Lecture Notes in Pure and Applied Mathematics, vol.254, issue.1, 2007. ,
DOI : 10.1201/9781420050912.ch1
Ideals, varieties, and algorithms, 1992. ,
Using algebraic geometry, 2006. ,
DOI : 10.1007/978-1-4757-6911-1
Toric varieties, 2011. ,
DOI : 10.1090/gsm/124
Heights of varieties in multiprojective spaces and arithmetic nullstellensatze, Annales Scientifiques de l' ´ Ecole Normale Supérieure, pp.549-627, 2013. ,
A survey on signature-based algorithms for computing Gr??bner bases, Journal of Symbolic Computation, vol.80, pp.719-784, 2017. ,
DOI : 10.1016/j.jsc.2016.07.031
Commutative Algebra: with a view toward algebraic geometry, 2013. ,
DOI : 10.1007/978-1-4612-5350-1
On the Complexity of Sparse Elimination, Journal of Complexity, vol.12, issue.2, pp.134-166, 1996. ,
DOI : 10.1006/jcom.1996.0010
A new efficient algorithm for computing gröbner bases without reduction to zero (f5), Proc. ACM ISSAC, pp.75-83 ,
Efficient Computation of Zero-dimensional Gr??bner Bases by Change of Ordering, Journal of Symbolic Computation, vol.16, issue.4, pp.329-344, 1993. ,
DOI : 10.1006/jsco.1993.1051
Gr??bner bases of bihomogeneous ideals generated by polynomials of bidegree <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mrow><mml:mo>(</mml:mo><mml:mn>1</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math>: Algorithms and complexity, Journal of Symbolic Computation, vol.46, issue.4, pp.406-437, 2011. ,
DOI : 10.1016/j.jsc.2010.10.014
Sparse gröbner bases: the unmixed case, Proc. ACM ISSAC, pp.178-185, 2014. ,
Discriminants, resultants , and multidimensional determinants, 2008. ,
DOI : 10.1007/978-0-8176-4771-1
A Gr??bner Free Alternative for Polynomial System Solving, Journal of Complexity, vol.17, issue.1, pp.154-211, 2001. ,
DOI : 10.1006/jcom.2000.0571
URL : https://doi.org/10.1006/jcom.2000.0571
The regularity of points in multi-projective spaces, Journal of Pure and Applied Algebra, vol.187, issue.1-3, pp.153-167, 2004. ,
Multiprojective witness sets and a trace test, 2015. ,
Affine solution sets of sparse polynomial systems, Journal of Symbolic Computation, vol.51, pp.34-54, 2013. ,
DOI : 10.1016/j.jsc.2012.03.006
Gröbner-bases, gaussian elimination and resolution of systems of algebraic equations, Proc. EUROCAL, pp.146-156 ,
Numerical solution of multivariate polynomial systems by homotopy continuation methods, Acta Numerica, vol.107, pp.399-436, 1997. ,
DOI : 10.1007/BF01389312
Multigraded Castelnuovo-Mumford regularity, Journal f??r die reine und angewandte Mathematik (Crelles Journal), vol.244, issue.571, 2004. ,
DOI : 10.1515/crll.2004.040
URL : http://arxiv.org/pdf/math/0305214
Uniform bounds on multigraded regularity, Journal of Algebraic Geometry, vol.14, issue.1, pp.137-164, 2005. ,
DOI : 10.1090/S1056-3911-04-00385-6
URL : http://arxiv.org/pdf/math/0305215
Combinatorial commutative algebra, 2004. ,
Multigraded regularity: syzygies and fat points, Beiträge Algebra Geom, vol.47, issue.1, pp.67-87, 2006. ,
DOI : 10.1016/j.jalgebra.2005.09.032
URL : https://doi.org/10.1016/j.jalgebra.2005.09.032
On the newton polytope of the resultant, Journal of Algebraic Combinatorics, vol.3, issue.2, pp.207-236, 1994. ,
DOI : 10.1023/A:1022497624378
Multigraded Resultants of Sylvester Type, Journal of Algebra, vol.163, issue.1, pp.115-127, 1994. ,
DOI : 10.1006/jabr.1994.1007
The castelnuovo regularity of the rees algebra and the associated graded ring. Transactions of the, pp.2813-2832, 1998. ,
On varieties in multiple-projective spaces, Indagationes Mathematicae (Proceedings), volume, pp.303-312, 1978. ,
Multigraded formulae for multigraded resultants, J. Algebr. Geom, vol.3, issue.4, pp.569-597, 1994. ,