P. Collin, R. Kusner, W. H. Meeks, I. , and H. Rosenberg, The Topology, Geometry and Conformal Structure of Properly Embedded Minimal Surfaces, Journal of Differential Geometry, vol.67, issue.2, pp.377-393, 2004.
DOI : 10.4310/jdg/1102536205

J. D. Fay, Theta functions on riemann surfaces Lecture notes in mathematics, 1973.

W. Fulton, Hurwitz Schemes and Irreducibility of Moduli of Algebraic Curves, The Annals of Mathematics, vol.90, issue.3, pp.542-575, 1969.
DOI : 10.2307/1970748

L. Hauswirth and F. Pacard, Higher genus Riemann minimal surfaces, Inventiones mathematicae, vol.63, issue.1, pp.569-620, 2007.
DOI : 10.1007/s00222-007-0056-z

D. Hoffman, H. Karcher, and F. Wei, The genus one helicoid and the minimal surfaces that led to its discovery, Global Analysis and Modern Mathematics. Publish or Perish Press, pp.119-170, 1993.

H. Masur, The extension of the weil petersson metric to the boundary of teichmuller space. Duke Math, J, vol.43, pp.623-635, 1976.

L. Mazet, M. M. Rodríguez, and M. Traizet, Saddle towers with infinitely many ends, Indiana University Mathematics Journal, vol.56, issue.6, pp.2821-2838, 2007.
DOI : 10.1512/iumj.2007.56.3130
URL : https://hal.archives-ouvertes.fr/hal-00118104

L. Mazet and M. Traizet, A quasi-periodic minimal surface. Commentarii mat, Helv, vol.83, pp.573-601, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00096161

W. H. Meeks, I. , J. Pérez, and A. Ros, The geometry of minimal surfaces of finite genus II; nonexistence of one limit end examples, Inventiones mathematicae, vol.18, issue.2, pp.323-341, 2004.
DOI : 10.1007/s00222-004-0374-3

N. Nadirashvili, Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces, Inventiones Mathematicae, vol.126, issue.3, pp.457-465, 1996.
DOI : 10.1007/s002220050106

J. Pérez and A. Ros, The space of properly embedded minimal surfaces with finite total curvature, Indiana Univ. Math. J, vol.45, issue.1, pp.177-204, 1996.

J. Pérez and A. Ros, Properly embedded minimal surfaces with finite total curvature, Lecture Notes in Math, vol.1775, pp.15-66, 2002.
DOI : 10.1007/978-3-540-45609-4_2

M. Shiffman, On Surfaces of Stationary Area Bounded by Two Circles, or Convex Curves, in Parallel Planes, The Annals of Mathematics, vol.63, issue.1, pp.77-90, 1956.
DOI : 10.2307/1969991

M. Traizet, An Embedded Minimal Surface with no Symmetries, Journal of Differential Geometry, vol.60, issue.1, pp.103-153, 2002.
DOI : 10.4310/jdg/1090351085