F. Salem, S. Gao, and A. G. Lauder, Factoring polynomials via polytopes, proc. of ISSAC, p.411, 2004.

M. Andersson, Residue currents and ideal of holomorphic functions, Bull. Sci. math, pp.481-512, 2004.

M. Avendano, T. Krick, and M. Sombra, Factoring bivariate sparse (lacunary) polynomials, J. Complexity, vol.23, pp.193-216, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00358830

K. Belabas, M. Van-hoeij, J. Kluners, and A. Steel, Factoring polynomials over global fields, 2004.
DOI : 10.5802/jtnb.655
URL : https://hal.archives-ouvertes.fr/hal-00440300

W. P. Barth, K. Hulek, C. A. Peters, and A. Van-de-ven, Compact Complex Surfaces, 2004.

A. Bostan, G. Lecerf, B. Salvy, E. Schost, and B. Wiebelt, Complexity issues in bivariate polynomial factorization, proc. of ISSAC, pp.42-49, 2004.
DOI : 10.1145/1005285.1005294
URL : https://hal.archives-ouvertes.fr/hal-00186759

G. Chèze and A. Galligo, From an approximate to an exact factorization, J. Symbolic Computation, vol.41, issue.6, pp.682-696, 2006.

G. Chèze, Absolute polynomial factorization in two variables and the knapsack proble, proc. of ISSAC, pp.87-94, 2004.

G. Chèze and G. Lecerf, Lifting and recombination techniques for absolute factorization, J. of Complexity, vol.23, issue.3, pp.380-420, 2007.

D. Cox, The homogeneous coordinate ring of a toric variety, J. Algebraic Geom, vol.4, issue.1, pp.17-50, 1995.

V. Danilov, The geometry of toric varieties, Russian Math. Surveys, vol.33, pp.97-154, 1978.

M. Elkadi, A. Galligo, and M. Weimann, Towards Toric Absolute Factorization, J. Symb. Comp, vol.44, issue.9, pp.1194-1211, 2009.
URL : https://hal.archives-ouvertes.fr/inria-00438275

A. Galligo and D. Rupprecht, Irreducible decomposition of curves, J. Symb. Comp, vol.33, pp.661-677, 2002.

W. Fulton, Introduction to Toric Varieties, Annals of Math. Studies, 1993.

S. Gao, Factoring multivariate polynomials via partial differential equation, Math. Comp, vol.72, pp.801-822, 2003.
DOI : 10.1090/s0025-5718-02-01428-x
URL : https://www.ams.org/mcom/2003-72-242/S0025-5718-02-01428-X/S0025-5718-02-01428-X.pdf

S. Gao and A. G. Lauder, Decomposition of polytopes and polynomials, Disc. and Comp. Geom, vol.6, pp.89-124, 2001.

J. Zur-gathen and J. Gerhard, Modern computer algebra, 1999.

M. L. Green, Secant functions, the Reiss relation and its converse, Trans. of Amer. Math. Soc, vol.280, issue.2, pp.499-507, 1983.

P. A. Griffiths, Variations on a theorem of Abel, Inventiones Math, vol.35, pp.321-390, 1976.

P. A. Griffiths and J. Harris, Principles of Algebraic Geometry, Pure and applied mathematics, 1978.

P. A. Griffiths and J. Harris, Residues and zero-cycles on algebraic varieties, Annals of Math, vol.128, pp.461-505, 1978.

R. Hartshorne, Algebraic Geometry, 1977.

G. Henkin and M. Passare, Abelian differentials on singular varieties and variation on a theorem of Lie-Griffiths, Inventiones math, vol.135, pp.297-328, 1999.

A. G. Khovansky, Newton polyhedra and toric varieties, Funct. Anal. Appl, vol.11, pp.56-67, 1977.

G. Lecerf, Sharp precision in Hensel lifting for bivariate polynomial factorization, Math. Comp, vol.75, pp.921-933, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00186733

G. Lecerf, Improved dense multivariate polynomial factorization algorithms, J. Symb. Comp, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00186740

A. K. Lenstra, H. W. Lenstra, J. , and L. Lovz, Factoring Polynomials with Rational Coefficients, Math. Ann, vol.261, issue.2, pp.515-534, 1982.

A. M. Ostrowski, On multiplication and factorization of polynomials. Lexicographic orderings and extreme aggregates of terms, Aequationes Math, vol.13, pp.201-228, 1975.

D. Rupprecht, Semi-numerical absolute factorization of polynomials with integer coefficients, J. Symbolic Computation, vol.37, pp.557-574, 2004.

A. Tsikh, Multidimensional residues and their applications, Transl. Amer. Math. Soc, vol.103, 1992.

M. Weimann, Trace et calcul résiduel: nouvelle version du théorème d'Abel-inverse et formes abéliennes, vol.16, pp.397-424, 2007.

M. Weimann, An interpolation theorem in toric varieties, Ann. Inst. Fourier, vol.58, issue.4, pp.1371-1381, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00136120

M. Weimann, A lifting and recombination algorithm for rational factorization of sparse polynomials, J. of Complexity, vol.26, issue.6, pp.608-628, 2010.
URL : https://hal.archives-ouvertes.fr/hal-02137320

J. A. Wood, A simple criterion for an analytic hypersurface to be algebraic, Duke Math. J, vol.51, pp.235-237, 1984.

J. A. Wood, Osculation by Algebraic Hypersurfaces, J. Differential Geometry, vol.18, pp.563-573, 1983.

M. Weimann, Departament Algebra i Geometria, Facultat de Matemàtiques, Universitat Barcelona Gran via 585, 08007 Barcelona. ? E-mail