Research Activities

List of Papers

  1. Affine smooth group schemes over the dual numbers, in collaboration with M. Romagny, submitted, 2018 (available at arxiv1802.06989).
  2. Essential dimension of infinitesimal commutative unipotent group schemes, submitted, 2017 (available at arxiv1709.00677).
  3. Essential dimension of group schemes over a local scheme, Journal of Algebra, Volume 492, pp. 1-27, 2017 (available at arxiv:1602.07187).
  4. Sekiguchi-Suwa theory revisited, in collaboration with A. Mézard et M. Romagny, J. Théor. Nombres Bordeaux, Volume 26 (1), pp. 163-200, 2014 (available at arxiv:1104.2222).
  5. Models of the group schemes of roots of unity, in collaboration with A. Mézard et M. Romagny. Annales de l'Institut de Fourier, Volume 63 (3), pp.1055-1135, 2013 (available at arxiv:1104.2232).
    1. On some notions of good reduction for endomorphisms of the projective line in collaboration with J.K Canci et G. Peruginelli, Manuscripta Mathematica, Volume 141, issue 1-2, pp. 315-331, 2013 (available at arxiv:1103.3853).
    2. On the essential dimension of infinitesimal group schemes in collabora tion with A.Vistoli. American Journal of Mathematics, Volume 135, Number 1, pp. 103-114, 2013 (available at arxiv:1001.3988).
  6. Models of μp2 over a discrete valuation ring. With an appendix by X. Caruso. Journal of Algebra, Volume 323, issue 7, pp. 1908-1957, 2010 (available at arxiv:1001.1416).
  7. Weak and strong extension of torsors. Oberwolfach Report 54. Mini-workshop: Group action on curves, organized by I. Bouw, S. Wewers e A. Mézard, 2009 (available here).
  8. Effective models and extension of torsors over a discrete valuation ring of unequal characteristic Int. Math. Res. Notices Vol. 2008, article ID rnn111, 68 pages, 2008 (available at arxiv:0803.3730).
  9. Nonisotrivial families over curves with fixed point free automorphisms with Francesca Vetro. Le Matematiche, Vol. LXI 2006 Fasc. I pp. 69-84, 2006 (available here).

Notes

- Teorema di Riemann-Roch per varietà non singolari (italian)