On the complexity of the F5 Gröbner basis algorithm, 2013. ,
The number of roots of a system of equations, Functional Analysis and Its Applications, vol.30, issue.2, pp.183-185, 1975. ,
DOI : 10.1007/BF01075595
Slimgb: Gr??bner bases with slim polynomials, Revista Matem??tica Complutense, vol.25, issue.3, pp.453-466, 2010. ,
DOI : 10.1007/s13163-009-0020-0
Local cohomology: an algebraic introduction with geometric applications, 1998. ,
Normal polytopes, triangulations, and Koszul algebras, J. fur die reine und angewandte Mathematik, vol.485, pp.123-160, 1997. ,
DOI : 10.1007/b105283_7
Toric varieties, 2011. ,
DOI : 10.1090/gsm/124
A survey on signature-based Gröbner basis computations. arXiv, 1404. ,
Sur les polyèdres rationnels homothétiqueshomothétiquesà n dimensions, CR Acad. Sci. Paris, vol.254, pp.616-618, 1962. ,
Commutative Algebra: with a view toward algebraic geometry, 1995. ,
DOI : 10.1007/978-1-4612-5350-1
Toric resultants and applications to geometric modelling, Solving polynomial equations, pp.269-300, 2005. ,
DOI : 10.1007/3-540-27357-3_7
Symbolic and Numeric Methods for Exploiting Structure in Constructing Resultant Matrices, Journal of Symbolic Computation, vol.33, issue.4, pp.393-413, 2002. ,
DOI : 10.1006/jsco.2002.0520
A new efficient algorithm for computing Gröbner bases without reduction to zero (F5), pp.75-83, 2002. ,
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
Solving systems of polynomial equations with symmetries using SAGBI-Gröbner bases, ISSAC '09, pp.151-158, 2009. ,
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
An inequality for Hilbert series of graded algebras., MATHEMATICA SCANDINAVICA, vol.56, pp.117-144, 1985. ,
DOI : 10.7146/math.scand.a-12092
Introduction to Toric Varieties, 1993. ,
DOI : 10.1515/9781400882526
???One sugar cube, please??? or selection strategies in the Buchberger algorithm, Proceedings of the 1991 international symposium on Symbolic and algebraic computation , ISSAC '91, pp.49-54, 1991. ,
DOI : 10.1145/120694.120701
Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes, The Annals of Mathematics, vol.96, issue.2, pp.318-337, 1972. ,
DOI : 10.2307/1970791
Gröbner bases, Gaussian elimination and resolution of systems of algebraic equations, Computer algebra, pp.146-156, 1983. ,
Polynomials associated with finite cell-complexes, J. London Math. Soc, vol.4, pp.181-192, 1971. ,
Combinatorial commutative algebra, 2005. ,
Convex bodies and algebraic geometry, 1988. ,
DOI : 10.1007/978-3-642-72547-0
URL : http://gdz.sub.uni-goettingen.de/download/PPN37915000X/PPN37915000X___LOG_0001.pdf
Mixed monomial bases, Algorithms in algebraic geometry and applications, pp.307-316, 1995. ,
DOI : 10.1007/978-3-0348-9104-2_15
On Cohen-Macaulay and Gorenstein simplicial affine semigroups, Proceedings of the Edinburgh Mathematical Society, pp.517-538, 1998. ,
DOI : 10.1006/jabr.1996.0178
Decompositions of Rational Convex Polytopes, pp.333-342, 1980. ,
DOI : 10.1016/S0167-5060(08)70717-9
Algorithms for matrix canonical forms, 2000. ,
Sparse elimination theory, Proc. Comp. Algebraic Geom. and Commut. Algebra, pp.377-396, 1991. ,
Gröbner bases and convex polytopes, AMS, vol.8, 1996. ,
DOI : 10.1090/ulect/008
Multiplying matrices faster than coppersmith-winograd, Proceedings of the 44th symposium on Theory of Computing, STOC '12, pp.887-898, 2012. ,
DOI : 10.1145/2213977.2214056
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.297.2680