An introduction to Gröbner bases, Graduate Studies in Mathematics, vol.3, 1994. ,
The Magma Algebra System I: The User Language, Journal of Symbolic Computation, vol.24, issue.3-4, pp.235-265, 1997. ,
DOI : 10.1006/jsco.1996.0125
Graduate Texts in Mathematics Complex abelian varieties, volume 302 of Grundlehren der Mathematischen Wissenschaften [Fundament al Principles of Gröbner bases, volume 141 of Graduate Texts in Mathematics A computational approach to commutative algebra, Computationnal Approach to Commutative Algebra cooperation with Heinz Kredel. [CL09] R. Carls and D. Lubicz. A p-adic quasi-quadratic time point counting algorithm, pp.698-735, 1993. ,
Ideals, Varieties and Algorithms Elliptic and modular curves over finite fields and related computational issues, Elk98] N. Elkies Computational perspectives on number theoryFau99] J. C. Faugère. A new efficient algorithm for computing Gröbner bases (F4), pp.21-76, 1992. ,
A new efficient algorithm for computing Gröbner bases without reduction to zero (F5), Proceedings of the 2002 International Symposium on Symbolic and Algebraic Computation, pp.75-83, 2002. ,
Efficient Computation of Zero-dimensional Gr??bner Bases by Change of Ordering, Journal of Symbolic Computation, vol.16, issue.4, pp.329-344, 1993. ,
DOI : 10.1006/jsco.1993.1051
Linear Systems on Abelian Varieties, American Journal of Mathematics, vol.111, issue.1, pp.65-94, 1989. ,
DOI : 10.2307/2374480
Heegner point lifting algorithm and elliptic curve point counting Ideal Bases and Primary Primary Decomposition:Case of Two Variables, Advances in cryptology?ASIACRYPT 2003, volume 2894 of Lecture Notes in Comput. Sci.Laz92] D. Lazard. Solving zero-dimensional algebraic systems, pp.124-136261, 1985. ,
A quasi quadratic time algorithm for hyperelliptic curve point counting, The Ramanujan Journal, vol.2, issue.1, pp.399-423, 2006. ,
DOI : 10.1007/s11139-006-0151-6
URL : https://hal.archives-ouvertes.fr/hal-00456401
Efficient Pairing Computation with Theta Functions, 9th International Symposium, 2010. ,
DOI : 10.1007/978-3-642-14518-6_21
URL : https://hal.archives-ouvertes.fr/hal-00528944
On the equations defining abelian varieties. I, Inventiones Mathematicae, vol.111, issue.4, pp.287-354, 1966. ,
DOI : 10.1007/BF01389737
On the equations defining abelian varieties. II, Inventiones Mathematicae, vol.3, issue.2, pp.75-135, 1967. ,
DOI : 10.1007/BF01389741
On the equations defining abelian varieties. II, Inventiones Mathematicae, vol.3, issue.2, pp.75-135, 1967. ,
DOI : 10.1007/BF01389741
Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, issue.5, 1970. ,
Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, issue.5, 1970. ,
Jacobian theta functions and differential equations, With the collaboration of C The canonical lift of an ordinary elliptic curve over a finite field and its point counting, Tata lectures on theta II, pp.247-270219, 1984. ,
A Memory Efficient Version of Satoh???s Algorithm, Advances in cryptology?EUROCRYPT 2001 (Innsbruck ), pp.1-13, 2001. ,
DOI : 10.1007/3-540-44987-6_1