G. Andrews, The theory of partitions. Cambridge Mathematical Library, 1998.

G. Andrews and R. J. Baxter, A Motivated Proof of the Rogers-Ramanujan Identities, The American Mathematical Monthly, vol.96, issue.5, pp.401-409, 1989.
DOI : 10.2307/2325145

C. Bruschek, Jet algebras and bell polynomials, 2010.

C. Bruschek, The linearization principle in infinite dimensional algebraic geometry, 2009.

C. Bruschek, H. Mourtada, and J. Schepers, Arc spaces and rogers-ramanujan identities. arXiv:1101.4950v2 [math, 2011.
DOI : 10.1007/s11139-012-9401-y
URL : https://hal.archives-ouvertes.fr/hal-00673759

D. Cox, J. Little, and D. Shea, Ideals, varieties, and algorithms. Undergraduate Texts in Mathematics An introduction to computational algebraic geometry and commutative algebra, 1997.

J. Draisma, Finiteness for the k-factor model and chirality varieties, Advances in Mathematics, vol.223, issue.1, pp.243-256, 2010.
DOI : 10.1016/j.aim.2009.08.008

L. Ein and M. Mustat¸?amustat¸?mustat¸?a, Inversion of adjunction for local complete intersection varieties, American Journal of Mathematics, vol.126, issue.6, pp.1355-1365, 2004.
DOI : 10.1353/ajm.2004.0044

B. Feigin and E. Frenkel, Coinvariants of nilpotent subalgebras of the Virasoro algebra and partition identities, In I. M. Gel fand Seminar Adv. Soviet Math, vol.16, pp.139-148, 1993.

R. A. Goward, J. , and K. E. Smith, The Jet Scheme of a Monomial Scheme, Communications in Algebra, vol.34, issue.5, pp.1591-1598, 2006.
DOI : 10.1007/s002220100152

G. Greuel and G. Pfister, A Singular introduction to commutative algebra, With 1 CD-ROM (Windows, Macintosh, and UNIX), 2002.
DOI : 10.1007/978-3-662-04963-1

C. Hillar and S. Sullivant, Finite groebner bases in infinite dimensional polynomial rings and applications, 2009.

S. Ishii, Jet schemes, arc spaces and the Nash problem, C. R. Math. Acad. Sci. Soc. R. Can, vol.29, issue.1, pp.1-21, 2007.

H. Mourtada, Sur les espaces des jets de quelques variétés algébriques singuliéres, 2010.

J. Nash and J. , Arc structure of singularities. Duke Math A celebration of John F, J, vol.81, issue.1, pp.31-38, 1995.