S. Abelard, P. Gaudry, and P. Spaenlehauer, Improved complexity bounds for counting points on hyperelliptic curves, Foundations of Computational Mathematics, 2017.
DOI : 10.1007/s10208-018-9392-1

URL : https://hal.archives-ouvertes.fr/hal-01613530

M. Leonard, M. Adleman, and . Huang, Counting points on curves and Abelian varieties over finite fields, Journal of Symbolic Computation, vol.32, issue.3, pp.171-189, 2001.

S. Ballentine, A. Guillevic, E. L. García, C. Martindale, M. Massierer et al., Isogenies for point counting on genus two hyperelliptic curves with maximal real multiplication, Algebraic Geometry for Coding Theory and Cryptography, pp.63-94, 2017.
DOI : 10.1007/978-3-319-63931-4_3

URL : https://hal.archives-ouvertes.fr/hal-01421031

C. Birkenhake and H. Lange, Complex Abelian varieties, vol.302, 2013.

A. Bostan, G. Lecerf, B. Salvy, É. Schost, and B. Wiebelt, Complexity issues in bivariate polynomial factorization, Proceedings of ISSAC 2004, pp.42-49, 2004.
DOI : 10.1145/1005285.1005294

URL : https://hal.archives-ouvertes.fr/hal-00186759

I. Boyer, Variétés abéliennes et jacobiennes de courbes hyperelliptiques, en particulier à multiplication réelle ou complexe, vol.7, 2014.

D. G. Cantor, On the analogue of the division polynomials for hyperelliptic curves, Journal fur die reine und angewandte Mathematik, vol.447, pp.91-146, 1994.

R. Carls and D. Lubicz, A p-adic quasi-quadratic time point counting algorithm, International Mathematics Research Notices, issue.4, pp.698-735, 2009.
DOI : 10.1093/imrn/rnn143

URL : https://hal.archives-ouvertes.fr/hal-00383103

N. D. Elkies, Elliptic and modular curves over finite fields and related computational issues, Computational Perspectives on Number Theory, pp.21-76, 1998.
DOI : 10.1090/amsip/007/03

J. S. Ellenberg, Endomorphism algebras of Jacobians, Advances in Mathematics, vol.162, pp.243-271, 2001.
DOI : 10.1006/aima.2001.1994

URL : https://doi.org/10.1006/aima.2001.1994

G. Frey and M. Müller, Arithmetic of modular curves and applications, Algorithmic Algebra and Number Theory, pp.11-48, 1999.
DOI : 10.1007/978-3-642-59932-3_2

P. Gaudry, D. Kohel, and B. Smith, Counting points on genus 2 curves with real multiplication, ASIACRYPT 2011, vol.7073, pp.504-519, 2011.
DOI : 10.1007/978-3-642-25385-0_27

URL : https://hal.archives-ouvertes.fr/inria-00598029

P. Gaudry and É. Schost, A low-memory parallel version of Matsuo, Chao and Tsujii's algorithm, ANTS-VI, vol.3076, pp.208-222, 2004.
DOI : 10.1007/978-3-540-24847-7_15

P. Gaudry and É. Schost, Genus 2 point counting over prime fields, Journal of Symbolic Computation, vol.47, issue.4, pp.368-400, 2012.
DOI : 10.1016/j.jsc.2011.09.003

URL : https://hal.archives-ouvertes.fr/inria-00542650

C. Michael and . Harrison, An extension of Kedlaya's algorithm for hyperelliptic curves, Journal of Symbolic Computation, vol.47, issue.1, pp.89-101, 2012.

D. Harvey, Counting points on hyperelliptic curves in average polynomial time, Annals of Mathematics, vol.179, issue.2, pp.783-803, 2014.
DOI : 10.4007/annals.2014.179.2.7

URL : http://arxiv.org/pdf/1210.8239.pdf

D. Harvey and A. V. Sutherland, Computing Hasse-Witt matrices of hyperelliptic curves in average polynomial time, II, Frobenius distributions: Lang-Trotter and Sato-Tate conjectures, vol.663, pp.127-148, 2016.
DOI : 10.1090/conm/663/13352

URL : http://arxiv.org/pdf/1410.5222

M. Huang and D. Ierardi, Counting points on curves over finite fields, Journal of Symbolic Computation, vol.25, issue.1, pp.1-21, 1998.

S. Kiran and . Kedlaya, Counting points on hyperelliptic curves using Monsky-Washnitzer cohomology, Journal of the Ramanujan mathematical society, vol.16, issue.4, pp.323-338, 2001.

S. Kiran, A. V. Kedlaya, and . Sutherland, Computing L-series of hyperelliptic curves, ANTS-VIII, vol.5011, pp.312-326, 2008.

R. David, B. A. Kohel, and . Smith, Efficiently computable endomorphisms for hyperelliptic curves, ANTS VII, vol.4076, pp.495-509, 2006.

J. Mestre, Familles de courbes hyperelliptiques à multiplications réelles, Arithmetic algebraic geometry, pp.193-208, 1991.

J. Pila, Frobenius maps of Abelian varieties and finding roots of unity in finite fields, Mathematics of Computation, vol.55, issue.192, pp.745-763, 1990.

T. Satoh, The canonical lift of an ordinary elliptic curve over a finite field and its point counting, Journal of the Ramanujan mathematical society, vol.15, issue.4, pp.247-270, 2000.

R. Schoof, Elliptic curves over finite fields and the computation of square roots mod p, Mathematics of Computation, vol.44, issue.170, pp.483-494, 1985.

G. Shimura, Introduction to the arithmetic theory of automorphic functions, vol.11, 1971.

A. Sutherland, A generic approach to searching for, Jacobians. Mathematics of Computation, vol.78, issue.265, pp.485-507, 2009.

W. Tautz, J. Top, and A. Verberkmoes, Explicit hyperelliptic curves with real multiplication and permutation polynomials, Canad. J. Math, vol.43, issue.5, pp.1055-1064, 1991.

. Paul-van-wamelen, Proving that a genus 2 curve has complex multiplication, Mathematics of Computation, vol.68, issue.228, pp.1663-1677, 1999.

J. Von, Z. Gathen, and J. Gerhard, Modern computer algebra. Cambridge university press, 2013.

R. Zippel, Effective polynomial computation, 1993.