C. Birkenhake and H. Lange, Complex abelian varieties of Grundlehren der mathematischen Wissenschaften, 2003.

G. Bisson, R. Cosset, and D. Robert, AVIsogenies (Abelian Varieties and Isogenies) Magma package for explicit isogenies computation between abelian varieties, 2010.

W. Bosma, J. Cannon, and C. Playoust, The Magma Algebra System I: The User Language, Computational algebra and number theory, pp.3-4235, 1993.
DOI : 10.1006/jsco.1996.0125

A. Bostan, F. Morain, B. Salvy, and É. Schost, Fast algorithms for computing isogenies between elliptic curves, Mathematics of Computation, vol.77, issue.263, pp.1755-1778, 2008.
DOI : 10.1090/S0025-5718-08-02066-8

URL : https://hal.archives-ouvertes.fr/inria-00091441

L. Brambila-paz, S. B. Bradlow, O. Garca-prada, and S. Ramanan, Lecture Note Series, Moduli Spaces and Vector Bundles, 2009.

L. Caporaso and E. Sernesi, Recovering plane curves from their bitangents, Journal of Algebraic Geometry, vol.12, issue.2, pp.225-244, 2003.
DOI : 10.1090/S1056-3911-02-00307-7

J. W. Cassels and E. V. Flynn, Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2 Lecture Note Series, 1996.

R. Cosset, Applications des fonctions thêta à la cryptographie sur courbes hyperelliptiques, 2011.

R. Cosset and D. Robert, Computing $(\ell ,\ell )$-isogenies in polynomial time on Jacobians of genus $2$ curves, Mathematics of Computation, vol.84, issue.294, pp.1953-1975, 2015.
DOI : 10.1090/S0025-5718-2014-02899-8

J. Couveignes and T. Ezome, 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

C. Diem, On arithmetic and the discrete logarithm problem in class groups of curves, 2008.

I. Dolgachev and D. Lehavi, On isogenous principally polarized abelian surfaces, Curves and abelian varieties, pp.51-69, 2008.
DOI : 10.1090/conm/465/09100

]. A. Fiorentino, Weber's formula for the bitangents of a smooth plane quartic, 2016.

S. Flon, R. Oyono, and C. Ritzenthaler, Fast addition on non-hyperelliptic genus 3 curves, Algebraic Geometry and Its Applications, pp.1-28, 2008.
DOI : 10.1142/9789812793430_0001

P. Griffiths and J. Harris, Principles of algebraic geometry, 1978.
DOI : 10.1002/9781118032527

J. I. Igusa, Theta functions, volume 194 of Grundlehren der mathematischen Wissenschaften, 1972.

S. Lang, Abelian varieties Interscience Tracts in Pure and Applied Mathematics, 1959.

D. Lehavi, Any smooth plane quartic can be reconstructed from its bitangents, Israel Journal of Mathematics, vol.19, issue.2, pp.371-379, 2005.
DOI : 10.1007/978-1-4612-0731-3

D. Lubicz and D. Robert, Computing isogenies between abelian varieties, Compositio Mathematica, vol.2, issue.05, pp.1483-1515, 2012.
DOI : 10.1515/crll.1837.16.221

URL : https://hal.archives-ouvertes.fr/hal-00446062

D. Lubicz and D. Robert, Abstract, LMS Journal of Computation and Mathematics, vol.1, issue.01, pp.198-216, 2015.
DOI : 10.1112/S0010437X12000243

J. S. Milne, Abelian varieties (v2.00), 2008.

D. Mumford, Tata lectures on theta I, Progress in Mathematics. Birkhäuser Boston, vol.28, 1983.

D. Mumford, Tata lectures on theta II, Progress in Mathematics. Birkhäuser Boston, vol.43, 1984.
DOI : 10.1007/978-0-8176-4578-6

J. S. Müller, Abstract, LMS Journal of Computation and Mathematics, vol.79, issue.01, pp.496-508, 2014.
DOI : 10.1007/s11786-009-0013-x

B. Riemann, Sur la théorie des fonctions abéliennes, 1898, p.487

C. Ritzenthaler, Point Counting on Genus 3 Non Hyperelliptic Curves, pp.379-394, 2004.
DOI : 10.1007/978-3-540-24847-7_29

URL : https://hal.archives-ouvertes.fr/hal-01099875

C. Ritzenthaler, Problèmes arithmétiques relatifs à certaines familles de courbes sur les corps finis, 2003.

B. Smith, Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves, pp.163-180, 2008.
URL : https://hal.archives-ouvertes.fr/inria-00537860

B. Smith, Computing low-degree isogenies in genus 2 with the Dolgachev-Lehavi method. Arithmeric, Geometry and Coding Theory -Contemporary mathematics, pp.159-170, 2012.
URL : https://hal.archives-ouvertes.fr/inria-00632118

A. G. Stubbs, Hyperelliptic curves, 2000.

J. Vélu, Isogénies entre courbes elliptiques, Compte Rendu Académie Sciences Paris Série A-B, vol.273, pp.238-241, 1971.

H. Weber, Theorie der Abelschen Funktionen vom Geschlecht 3, 1876.

A. Weng, Konstruktion kryptographisch geeigneter Kurven mit komplexer Multiplikation, 2001.