M. F. Atiyah and I. G. Macdonald, Introduction to Commutative Algebra, 1969.

M. Bhargava and B. H. Gross, Arithmetic invariant theory, 2012.
DOI : 10.1007/978-1-4939-1590-3_3

URL : http://arxiv.org/abs/1206.4774

S. Bosch, W. Lütkebohmert, and M. Raynaud, Néron Models, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1990.
DOI : 10.1007/978-3-642-51438-8

H. Cohen, A Course in Computational Algebraic Number Theory, Grad. Texts Math, vol.138, 1993.
DOI : 10.1007/978-3-662-02945-9

M. Deland, Sum of Three Squares

P. Gille and L. Moret-bailly, Actions algébriques de groupes arithmétiques , in " Torsors, ´ etale homotopy and applications to rational points, Soc. Lecture Note Ser, vol.405, pp.231-249

J. Giraud, Cohomologie non abélienne, Die Grundlehren der mathematischen Wissenschaften, 1971.

B. H. Gross, Heights and the Special Values of L-series, CMS Proceedings, pp.115-187, 1986.

A. Grothendieck, A General Theory of Fibre Spaces with Structure Sheaf, 1958.

F. Hirzebruch and D. Zagier, Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus, Inventiones Mathematicae, vol.30, issue.1, pp.57-113, 1976.
DOI : 10.1007/BF01390005

Q. Liu, Algebraic Geometry and Arithmetic Curves, Oxford Grad. Texts Math, vol.6, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00194204

J. Milnor and D. Husemoller, Symmetric Bilinear Forms, Ergebnisse der Mathematik und ihrer Grenzgebiete, 1973.
DOI : 10.1007/978-3-642-88330-9

B. Poonen, Rational Points on Varieties

G. Shimura, Quadratic Diophantine Equations, the Class Number, and the Mass Formula, Bulletin of the AMS, 19] P. Stevenhagen, Number Rings, 2006.

W. C. Waterhouse, Introduction to Affine Group Schemes, Grad. Texts Math, vol.66, 1979.
DOI : 10.1007/978-1-4612-6217-6

D. Zagier, Nombres de classes et formes modulaires, C. R, issue.2