M. Avendaño, T. Krick, and M. Sombra, Factoring bivariate sparse (lacunary) polynomials, Journal of Complexity, vol.23, issue.2, pp.193-216, 2007.
DOI : 10.1016/j.jco.2006.06.002

F. Amoroso, M. Sombra, and U. Zannier, Unlikely intersections and multiple roots of sparse polynomials, Mathematische Zeitschrift, vol.109, issue.3-4, 1007.
DOI : 10.1215/S0012-7094-01-10934-4

URL : https://hal.archives-ouvertes.fr/hal-01081416

R. Dvornicich and U. Zannier, Cyclotomic Diophantine problems (Hilbert irreducibility and invariant sets for polynomial maps), Duke Math, J, vol.139, issue.3, pp.527-554, 2007.
DOI : 10.1215/s0012-7094-07-13934-6

M. Filaseta, A. Granville, and A. Schinzel, Irreducibility and greatest common divisor algorithms for sparse polynomials, Number theory and polynomials, Soc. Lecture Notes Ser, vol.352, pp.155-176, 2008.
DOI : 10.1017/cbo9780511721274.012

URL : http://www.math.sc.edu/%7Efilaseta/papers/SparsePaper.pdf

C. Fuchs, V. Mantova, and U. Zannier, On fewnomials, integral points, and a toric version of Bertini???s theorem, Journal of the American Mathematical Society, vol.31, issue.1, 2017.
DOI : 10.1090/jams/878

B. Grenet, Bounded-degree factors of lacunary multivariate polynomials, Journal of Symbolic Computation, vol.75, pp.171-192, 2016.
DOI : 10.1016/j.jsc.2015.11.013

URL : https://hal.archives-ouvertes.fr/hal-01094727

R. [. Hartshorne, P. Kaltofen, and . Koiran, Algebraic geometry, Graduate Texts in Math Finding small degree factors of multivariate supersparse (lacunary ) polynomials over algebraic number fields, pp.162-168, 1977.

H. W. Lenstra and J. , On the factorization of lacunary polynomials, Number theory in progress, de Gruyter, pp.277-291, 1997.

D. Mumford, The red book of varieties and schemes, Lecture Notes in Math, vol.1358, 1988.

U. Zannier, Hilbert irreducibility above algebraic groups, Duke Math, J. Commutative algebra. Graduate Texts in Math, vol.153, issue.29, pp.397-425, 1975.
DOI : 10.1215/00127094-2010-027

C. Laboratoire-de-mathématiques-nicolas-oresme and . Umr, BP 5186, 14032 Caen Cedex, France E-mail address: francesco.amoroso@unicaen.fr URL: http://www.math.unicaen.fr/?amoroso/ Institució Catalana de Recerca i Estudis Avançats (ICREA) Passeig Lluís Companys 23