AVIsogenies: a library for computing isogenies between abelian varieties ,
Computing in the Jacobian of a hyperelliptic curve, Mathematics of Computation, vol.48, issue.177, pp.95-101, 1987. ,
DOI : 10.1090/S0025-5718-1987-0866101-0
A generalized arithmetic geometric mean The Netherlands, 2004. ,
Computing functions on Jacobians and their quotients, LMS Journal of Computation and Mathematics, vol.2, issue.01, pp.555-577, 2015. ,
DOI : 10.1007/978-3-662-03338-8
URL : https://hal.archives-ouvertes.fr/hal-01088933
The Jacobian and formal group of a curve of genus 2 over an arbitrary ground field, Mathematical Proceedings of the Cambridge Philosophical Society, vol.1, issue.03, pp.425-441, 1990. ,
DOI : 10.1007/BF01389737
Counting Points on Hyperelliptic Curves over Finite Fields, Algorithmic Number Theory, 4th International Symposium, ANTS-IV, pp.313-332, 2000. ,
DOI : 10.1007/10722028_18
URL : https://hal.archives-ouvertes.fr/inria-00512403
Counting Points on Genus 2 Curves with Real Multiplication, Advances in Cryptology?ASIACRYPT 2011, pp.504-519, 2011. ,
DOI : 10.1007/978-3-642-25385-0_27
URL : https://hal.archives-ouvertes.fr/inria-00598029
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
Hilbert Modular Surfaces, 1988. ,
Formal groups in genus two, J. Reine Angew. Math, vol.411, pp.96-121, 1990. ,
Die Bestimmung der Funktionen zur Hilbertschen Modulgruppe des Zahlk???rpersQ ( $$\sqrt 5 $$ ), Mathematische Annalen, vol.1, issue.3, pp.226-256, 1963. ,
DOI : 10.1007/BF01470882
An extension of Kedlaya???s algorithm for hyperelliptic curves, Journal of Symbolic Computation, vol.47, issue.1, pp.89-101, 2012. ,
DOI : 10.1016/j.jsc.2011.08.019
Kedlaya's Algorithm in Larger Characteristic, International Mathematics Research Notices, vol.29, issue.22, 2007. ,
DOI : 10.1093/imrn/rnm095
URL : http://arxiv.org/pdf/math/0610973
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
On Siegel Modular Forms of Genus Two, American Journal of Mathematics, vol.84, issue.1, pp.175-200, 1962. ,
DOI : 10.2307/2372812
Modular Forms and Projective Invariants, American Journal of Mathematics, vol.89, issue.3, pp.817-855, 1967. ,
DOI : 10.2307/2373243
``Chinese & Match'', an alternative to Atkin's ``Match and Sort'' method used in the SEA algorithm, Mathematics of Computation, vol.70, issue.234, pp.827-836, 2001. ,
DOI : 10.1090/S0025-5718-00-01200-X
Counting points on hyperelliptic curves using Monsky?Washnitzer cohomology, J. Ramanujan Math. Soc, vol.16, issue.4, pp.323-338, 2001. ,
Introduction to Algebraic and Abelian Functions, Graduate Texts in Mathematics, vol.89, 1982. ,
DOI : 10.1007/978-1-4612-5740-0
Algebraic Number Theory, volume 16 of Graduate Texts in Mathematics, 1986. ,
Hilbert theta series and invariants of genus 2 curves, Journal of Number Theory, vol.161, pp.146-174, 2016. ,
DOI : 10.1016/j.jnt.2015.02.020
Computing genus 2 curves from invariants on the Hilbert moduli space, Journal of Number Theory, vol.131, issue.5, pp.936-958, 2011. ,
DOI : 10.1016/j.jnt.2010.05.012
URL : https://doi.org/10.1016/j.jnt.2010.05.012
Algorithmique des courbes elliptiques dans les corps finis, 1997. ,
URL : https://hal.archives-ouvertes.fr/tel-01101949
Isogeny Graphs, Modular Polynomials, and Applications, 2017. ,
Lettrè a Gaudry et Harley, 2001. ,
Algorithme pour compter des points de courbes en petite caractéristique et petit genre, 2002. ,
Computing modular polynomials in dimension 2, 2015. ,
URL : https://hal.archives-ouvertes.fr/tel-01240690
A quasi-linear time algorithm for computing modular polynomials in dimension 2, LMS Journal of Computation and Mathematics, vol.18, issue.01, pp.603-632, 2015. ,
DOI : 10.2748/tmj/1178224764
URL : https://hal.archives-ouvertes.fr/hal-01080462
Abelian Varieties, Arithmetic Geometry, pp.103-150, 1984. ,
DOI : 10.1007/978-1-4613-8655-1_5
Hilbertsche Modulformen und Modulfunktionen zu $$\mathbb{Q}(\sqrt 5 )$$, Archiv der Mathematik, vol.89, issue.3, pp.239-251, 1985. ,
DOI : 10.1007/978-3-642-61867-3_7
Frobenius maps of abelian varieties and finding roots of unity in finite fields, Mathematics of Computation, vol.55, issue.192, pp.745-763, 1990. ,
DOI : 10.1090/S0025-5718-1990-1035941-X
Abelian surfaces and Jacobian varieties over finite fields, Compositio Math, vol.76, issue.3, pp.351-366, 1990. ,
On p-adic Point Counting Algorithms for Elliptic Curves over Finite Fields, Algorithmic Number Theory, pp.43-66, 2002. ,
DOI : 10.1007/3-540-45455-1_5
Elliptic curves over finite fields and the computation of square roots mod p, Math. Comp, vol.44, issue.170, pp.483-494, 1985. ,
Counting points on elliptic curves over finite fields, Journal de Th??orie des Nombres de Bordeaux, vol.7, issue.1, pp.219-254, 1995. ,
DOI : 10.5802/jtnb.142
URL : http://www.emath.fr/Maths/Jtnb/SAUVE/almira.math.u-bordeaux.fr/jtnb/1995-1/schoof.ps
On the evaluation of modular polynomials, ANTS X?Proceedings of the Tenth Algorithmic Number Theory Symposium of Open Book Series, pp.531-555, 2013. ,
DOI : 10.1112/S1461157012001106
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
Elliptic Curves: Number Theory and Cryptography, volume 50 of Discrete Mathematics and its Applications, 2008. ,
DOI : 10.1201/9781420071474