C. Clemens and P. Griffiths, The Intermediate Jacobian of the Cubic Threefold, The Annals of Mathematics, vol.95, issue.2, pp.281-356, 1972.
DOI : 10.2307/1970801

A. Corti, Factoring birational maps of threefolds after Sarkisov, J. Algebraic Geom, vol.4, issue.2, pp.223-223, 1995.

T. De-fernex, Birationally rigid hypersurfaces, Invent. Math., to appear, preprint arXiv

G. Freudenburg, V. R. Gamkrelidze, and V. L. Popov, Algebraic Theory of Locally Nilpotent Derivations, Encyclopaedia of Mathematical Sciences Invariant Theory and Algebraic Transformation Groups, 2006.

R. Gurjar, M. Masuda, and M. Miyanishi, <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">A</mml:mi></mml:mrow><mml:mrow><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:math>-fibrations on affine threefolds, Journal of Pure and Applied Algebra, vol.216, issue.2, pp.296-313, 2012.
DOI : 10.1016/j.jpaa.2011.06.013

S. L. Iitakaw, J. Baily, and T. Shioda, On logarithmic Kodaira dimension of algebraic varieties, Complex Analysis and Algebraic Geometry, Iwanami Shoten, pp.175-189, 1977.

S. Kaliman and M. Zaidenberg, Families of affine planes: The existence of a cylinder, Michigan Math, J, vol.49, pp.353-367, 2001.

S. Keel and J. M. Kernan, Rational curves on quasi-projective surfaces, Memoirs of AMS, 1999.

T. Kishimoto, Y. Prokhorov, and M. Zaidenberg, Group actions on affine cones, Affine Algebraic Geometry The Russell Festschrift, CRM Proceedings & Lecture Note, pp.123-163, 2011.

T. Kishimoto, Y. Prokhorov, and M. Zaidenberg, Affine cones over Fano threefolds and additive group actions, preprint arXiv:1106.1313v1 [math

J. Kollár, Flips and abundance for algebraic threefolds, Astérisque, vol.211, 1992.

J. Kollár and S. Mori, Birational Geometry of Algebraic Varieties, Cambridge Tracts in Math

M. Miyanishi, Singularities of normal affine surfaces containing cylinderlike open sets, Journal of Algebra, vol.68, issue.2, pp.268-275, 1981.
DOI : 10.1016/0021-8693(81)90264-7

M. Miyanishi and T. Sugie, Affine surfaces containing cylinderlike open sets, Journal of Mathematics of Kyoto University, vol.20, issue.1, pp.11-42, 1980.
DOI : 10.1215/kjm/1250522319

M. Nagata, Polynomial rings and affine spaces, Regional Conference Series in Math, vol.37, 1978.
DOI : 10.1090/cbms/037

T. Ohta, The structure of algebraic embeddings of C 2 into C 3 (the normal quartic hypersurface case. I), Osaka J. Math, vol.38, pp.507-532, 2001.

A. V. Pukhlikov, Birational automorphisms of Fano hypersurfaces, Inventiones Mathematicae, vol.134, issue.2, pp.401-426, 1998.
DOI : 10.1007/s002220050269

A. Seidenberg, Derivations and integral closure, Pacific Journal of Mathematics, vol.16, issue.1, pp.167-173, 1966.
DOI : 10.2140/pjm.1966.16.167

URL : http://projecteuclid.org/download/pdf_1/euclid.pjm/1102995095

O. Zariski, Interpretations algébrico-géometriques du quatorzième probleme de Hilbert, Bulletin des Sciences Mathéematiques, vol.78, pp.155-168, 1954.