Personnal Page

Adrien Dubouloz


Research Interests : Affine Algebraic Geometry :

  • Automorphism groups of noncomplete algebraic surfaces
  • Polynomial automorphisms of affine spaces
  • Additive group actions on affine schemes
  • Principal bundles and the Cancellation Problem
  • Logarithmic birational geometry

Publications

  • With Jérémy Blanc, Automorphisms of A1-fibered surfaces
    To appear in Trans. of the AMS
    arXiv:0906.3623v1     hal-00396986

  • With Lucy Moser-Jauslin and Pierre-Marie Poloni, Inequivalent embeddings of the Koras-Russell cubic threefold
    To appear in Michigan Mathematical Journal
    arXiv:0903.4278v1     hal-00370741

  • The cylinder over the Koras-Russell cubic threefold has a trivial Makar-Limanov invariant
    Transformation Groups vol 14, no 3 (2009), p. 531-539.
    arXiv:0807.4085     hal-00306229

  • With Pierre-Marie Poloni, On a class of Danielewski surfaces in affine 3-space ,
    Journal of Algebra 321 (2009), p.1797-1812.
    arXiv:math/0602549     hal-00019635

  • Additive group actions on Danielewski varieties and the Cancellation Problem,
    Math. Z. 255 (2007), no. 1, p. 77-93 .
    arXiv:math/0507505v1     hal-00007651

  • Embeddings of Danielewski surfaces in affine spaces,
    Commentarii Mathematici Helvetici vol 81, no. 1, 2006, pp. 49-73.

  • Danielewski-Fieseler surfaces.
    Transformation Groups vol. 10, no. 2, 2005, pp. 139-162.

  • Completions of normal affine surfaces with a trivial Makar-Limanov invariant.
    Michigan Mathematical Journal 52, No. 2, 2004, pp. 289-308.

Preprints

  • With David R. Finston and Parag Deepak Mehta, Factorial threefolds with Ga-actions
    arXiv:0902.3873 hal-00363371

  • With Stéphane Lamy , Variations on the log-Sarkisov program for surfaces
    arXiv:0802.2441 hal-00256812

  • Autour d'une surface rationnelle dans C3 ,
    math.AG/0512152 (2005), 14p.

  • Quelques remarques sur la notion de modification affine,
    math.AG/0503142

Links



Contact

Telephone : +33- (0)3 80 39 58 74
Fax : +33- (0)3 80 39 58 99
E-mail : adrien.dubouloz"at"u-bourgogne.fr