R. M. Avanzi, A study on polynomials in separated variables with low genus factors, 2001.

C. Birkenhake and H. Lange, Complex abelian varieties (2e) Grundlehren der mathematischen Wissenschaften, 2004.

W. Bosma, J. J. Cannon, and C. Playoust, The Magma Algebra System I: The User Language, Journal of Symbolic Computation, vol.24, issue.3-4, pp.3-4, 1997.
DOI : 10.1006/jsco.1996.0125

J. Bost and J. Mestre, Moyenne arithmético-géometrique et périodes des courbes de genre 1 et 2, Gaz. Math, vol.38, pp.36-64, 1988.

A. Brumer, The rank of J 0 (N ) Astérisque, pp.41-68, 1995.

W. Bruns and J. Gubeladze, Polytopal Linear Groups, Journal of Algebra, vol.218, issue.2, pp.715-737, 1999.
DOI : 10.1006/jabr.1998.7831
URL : http://doi.org/10.1006/jabr.1998.7831

J. W. Cassels, Factorization of polynomials in several variables, Proceedings of the 15th Scandinavian Congress, pp.1-17, 1968.
DOI : 10.1093/qmath/12.1.304

P. Cassou, ?. Nogues, and J. Couveignes, Factorisations explicities de g(y) ? h(z) Acta Arith, pp.291-317, 1999.

W. Castryck and J. Voight, On nondegeneracy of curves. Algebra Number Theory 3 no, pp.255-281, 2009.

C. Chai and F. Oort, A note on the existence of absolutely simple Jacobians, Journal of Pure and Applied Algebra, vol.155, issue.2-3, pp.115-120, 2001.
DOI : 10.1016/S0022-4049(99)00096-1

H. Davenport, D. J. Lewis, and A. Schinzel, ), The Quarterly Journal of Mathematics, vol.12, issue.1, pp.304-312, 1961.
DOI : 10.1093/qmath/12.1.304

H. Davenport and A. Schinzel, Two problems concerning polynomials, J. Reine Angew. Math, vol.214, pp.386-391, 1964.

R. Donagi and R. Livné, The arithmetic-geometric mean and isogenies for curves of higher genus, Ann. Scuola Norm. Sup. Pisa Cl. Sci, vol.28, issue.4 2, pp.323-339, 1999.

W. Feit, Automorphisms of symmetric balanced incomplete block designs, Mathematische Zeitschrift, vol.21, issue.1, pp.40-49, 1970.
DOI : 10.1007/BF01109892

W. Feit, On symmetric balanced incomplete block designs with doubly transitive automorphism groups, Journal of Combinatorial Theory, Series A, vol.14, issue.2, pp.221-247, 1973.
DOI : 10.1016/0097-3165(73)90024-1

W. Feit, Some consequences of the classification of finite simple groups, Proc. Symposia Pure Math, pp.175-181, 1980.
DOI : 10.1090/pspum/037/604576

M. Fried, On a conjecture of Schur. Michigan Math, J, vol.17, pp.41-55, 1970.

M. Fried, The field of definition of function fields and a problem in the reducibility of polynomials in two variables, Illinois J. Math, pp.17-128, 1973.

M. Fried, Exposition on an arithmetic-group theoretic connection via Riemann???s existence theorem, Proceedings of Symposia in Pure Math, pp.571-602, 1980.
DOI : 10.1090/pspum/037/604636

W. Fulton, Intersection theory (2e), 1998.

P. Gaudry and N. Gurel, An Extension of Kedlaya???s Point-Counting Algorithm to Superelliptic Curves, Advances in cryptology: ASIACRYPT 2001, pp.480-494, 2001.
DOI : 10.1007/3-540-45682-1_28

D. Gorenstein, R. Lyons, and R. Solomon, The classification of the finite simple groups, AMS Mathematical surveys and monographs, vol.401, 1994.

M. C. Harrison, Some notes on Kedlaya's algorithm for hyperelliptic curves. arXiv math.NT / 1006, p.1, 2010.

K. Hashimoto, On Brumer's family of {RM}-curves of genus two, Tohoku Mathematical Journal, vol.52, issue.4, pp.475-488, 2000.
DOI : 10.2748/tmj/1178207751

E. W. Howe and H. J. Zhu, On the Existence of Absolutely Simple Abelian Varieties of a Given Dimension over an Arbitrary Field, Journal of Number Theory, vol.92, issue.1, pp.139-163, 2002.
DOI : 10.1006/jnth.2001.2697

K. S. Kedlaya, Counting points on hyperelliptic curves using Monsky?Washnitzer cohomology, J. Ramanujan Math. Soc, vol.16, issue.4, pp.323-338, 2001.

R. J. Koelman, The number of moduli of families of curves on toric surfaces, 1991.

G. Kux, Construction of algebraic correspondences between hyperelliptic function fields using Deuring's theory, 2004.

R. Lidl, G. L. Mullen, G. Turnwald, and . Dickson-polynomials, Pitman monographs and surveys in pure and applied mathematics 65, Longman Scientific and Technical, 1993.

J. Mestre, Couples de jacobiennes isogénes de courbes hyperelliptiques de genre arbitraire. arXiv math.AG / 0902, p.1, 2009.

J. Mestre, Familles de courbes hyperelliptiquesàhyperelliptiquesà multiplications réelles, Arithmetic algebraic geometry (Texel Progr. Math, 1989.

F. Oort and K. Ueno, Principally polarized abelian varieties of dimension two or three are Jacobian varieties, J. Fac. Sci. Univ. Tokyo, Sect IA: Math, vol.20, pp.377-381, 1973.

M. Reid, Graded rings and varieties in weighted projective space. Manuscript available from www.maths.warwick.ac.uk

G. Shimura, Abelian varieties with complex multiplication and modular functions. Princeton mathematical series 46, 1998.

B. Smith, Families of explicit isogenies of hyperelliptic Jacobians Arithmetic, Geometry, Cryptography and Coding Theory, Contemp. Math, pp.521-121, 2009.

B. Smith, Isogenies and the discrete logarithm problem in Jacobians of genus 3 hyperelliptic curves, EUROCRYPT 2008, pp.163-180, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00537860

W. Tautz, J. Top, and A. Verberkmoes, Explicit hyperelliptic curves with real multiplication and permutation polynomials, Journal canadien de math??matiques, vol.43, issue.5, pp.1055-1064, 1991.
DOI : 10.4153/CJM-1991-061-x

J. Vélu, Isogénies entre courbes elliptiques, C. R. Acad. Sci. Paris, vol.273, pp.238-241, 1971.

Y. Zarhin, Endomorphisms of superelliptic Jacobians. arXiv math, p.4, 2008.

Y. Zarhin, The endomorphism rings of jacobians of cyclic covers of the projective line, Math. Proc. Cambridge Philos. Soc. 136 no, pp.257-267, 2004.
DOI : 10.1017/S0305004103007102

Y. Zarhin, Hyperelliptic Jacobians without Complex Multiplication, doubly transitive permutation groups and projective representations Algebraic number theory and algebraic geometry, Contemp. Math, pp.300-195, 2002.
DOI : 10.1090/conm/300/05149
URL : http://arxiv.org/abs/math/0201185

Y. Zarhin, Superelliptic Jacobians. arXiv math, p.4, 2006.
DOI : 10.1007/s00209-005-0921-7
URL : http://arxiv.org/abs/math/0303001