Publications
Publications

Publications and Preprints

You may also have a look on the arXiv where you will find my preprints.

Publications:

  • Une composante du bord des instantons de degré 3. C. R. Acad. Sci. Paris Sér. I Math. 330 (2000), no. 3, 217--220. PDF.
  • Courbes rationnelles sur les variétés homogènes. Ann. Inst. Fourier (Grenoble) 52 (2002), no. 1, 105--132. PDF.
  • Limites de fibrés vectoriels dans $M_{Q_3}(0,2,0)$. C. R. Math. Acad. Sci. Paris 334 (2002), no. 9, 779--782. PDF.
  • Lieu singulier des surfaces rationnelles réglées. Math. Z. 241 (2002), no. 2, 375--396. PDF.
  • Deux composantes du bord de $I_3$ Bull. Soc. Math. France 130 (2002), no. 4, 537--572. PDF.
  • Rational curves on homogeneous cones. Doc. Math. 9 (2004), 623--637 (electronic). PDF.
  • Déformations de fibrés vectoriels sur les variétés de dimension 3. Manuscripta Math. 116 (2005), no. 4, 449--474 PDF..
  • Rational curves on minuscule Schubert varieties. J. Algebra 294 (2005), no. 2, 431--462. PDF.
  • (with J. Almeida and L. Gruson) Courbes de genre 5 munies d’une involution sans point fixe. J. London Math. Soc. (2) 72 (2005), no. 3, 545--570. PDF.
  • Small resolutions of minuscule Schubert varieties. Compositio Math. 143 (2007), 1255--1312. PDF.
  • Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group z. Comptes Rendus Mathematique. 345 (2007), no. 3, 155--160. PDF.
  • (with P.-E. Chaput and L. Manivel) Quantum cohomology of minuscule homogeneous spaces. Transform. Groups 13 (2008), no. 1, 47--89. PDF.
  • (with P.-E. Chaput and L. Manivel) Quantum cohomology of minuscule homogeneous spaces II: hidden symmetries. Int. Math. Res. Not. IMRN 2007, no. 22. PDF.
  • (with P.-E. Chaput and L. Manivel) Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces. Mathematical Research Letters, 16 (2009), 7--21. PDF.
  • Gorenstein locus of minuscule Schubert varieties, Advances in Math. 220 (2009), no. 2, 505--522. PDF.
  • (with B. Pasquier) Local rigidity of quasi-regular varieties. Math. Z. 265 (2010), no. 3, 589--600. PDF.
  • (with P.-E. Chaput and L. Manivel) Quantum cohomology of minuscule homogeneous spaces III : semi-simplicity and consequences. Canad. J. Math. 62 (2010), no. 6, 1246--1263. PDF.
  • (with P.-E. Chaput) Rationality of some Gromov-Witten varieties and application to quantum K-theory. Commun. Contemp. Math. 13 (2011), no. 1, 67–90. PDF.
  • Small codimension subvarieties in homogeneous spaces. Indag. Math. (N.S.) 20 (2009), no. 4, 557–581. PDF.
  • (with P.-E. Chaput) On the quantum cohomology of adjoint varieties. Proc. Lond. Math. Soc. (3) 103 (2011), no. 2, 294–330. PDF.
    See also the companion file at this link     as well as the program on this page.
  • (with S. Leidwanger) Study of some orthosymplectic Springer fibers. 2010. J. Algebra 335 (2011), 83–95. PDF.

 

To appear:

  • (with P.-E. Chaput) Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces. 2009. To appear in Journal of Lie Theory. PDF.
  • (with E. Smirnov) Springer fiber components in the two columns case for types A and D are normal. 2009. To appear in Bulletin de la SMF. PDF.
  • Elliptic curves on the spinor varieties. 2012. To appear in Central European Journal of Mathematics. PDF.

 

Preprints:

  • (with A. Buch, P.-E. Chaput and L.C. Mihalcea) Finiteness of cominuscule quantum K-theory. 2010. PDF.
  • (with B. Pasquier) Elliptic curves on some homogeneous spaces. 2011. Submitted. PDF.
  • Spherical varieties and Wahl's conjecture. 2012. PDF.
  • (with P. Achinger) Spherical multiple flag varieties. 2012. Preliminary version.

 

Thesis: