Prof. Dr. Nicolas Perrin: Research

 


Preprints:

  • (with M. Bender) Closures of B-conjugacy classes of 2-nilpotent matrices have rational singularities. 2014. PDF.

  • Semisimple quantum cohomology of some Fano varieties. 2014. PDF.

  • (with A. Buch, P.-E. Chaput and L. Mihalcea) Projected Gromov-Witten varieties in cominuscule spaces. 2013. Submitted. PDF.
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    To appear:

  • (with A. Buch, P.-E. Chaput and L. Mihalcea) Rational connectedness implies finiteness of quantum K-theory. 2013.
    To appear in Asian Journal of Mathematics. PDF.

  • (with P. Achinger) Spherical multiple flag varieties. 2013.
    To appear in Advanced Studies in Pure Mathematics. PDF.

  • Split subvarieties of group embeddings. 2013.
    To appear in Transactions of the AMS. PDF.
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    Publications:

  • Spherical varieties and Wahl's conjecture.
    Annales de l'Institut Fourier. 64 (2014), no. 2, 739--751. PDF.

  • (with Jorge Caravantes) Formal properties in small codimension.
    Collectanea Mathematica. 65 (2014), no. 2, 251--256. PDF.

  • On the geometry of spherical varieties.
    Transform. Groups. 19 (2014), no.1, 171--223. PDF.

  • (with B. Pasquier) Elliptic curves on some homogeneous spaces.
    Doc. Math. 18 (2013), 679--706. PDF.

  • (with A. Buch, P.-E. Chaput and L.C. Mihalcea) Finiteness of cominuscule quantum K-theory.
    Annales de l'ENS 46 (2013) no.3, 477--494. PDF.

  • (with E. Smirnov) Springer fiber components in the two columns case for types A and D are normal.
    Bulletin de la SMF 140 (2012) no. 3, 309--333. PDF.

  • Elliptic curves on the spinor varieties.
    Cent. Eur. J. Math. 10 (2012), no. 4, 1393--1406. PDF.

  • (with P.-E. Chaput) Towards a Littlewood-Richardson rule for Kac-Moody homogeneous spaces.
    J. Lie Theory 22 (2012), no. 1, 17--80. PDF.

  • (with S. Leidwanger) Study of some orthosymplectic Springer fibers. 2010.
    J. Algebra 335 (2011), 83--95. 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.

  • Small codimension subvarieties in homogeneous spaces.
    Indag. Math. (N.S.) 20 (2009), no. 4, 557--581. 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.

  • (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 B. Pasquier) Local rigidity of quasi-regular varieties.
    Math. Zeit. 265 (2010), no. 3, 589--600. PDF.

  • Gorenstein locus of minuscule Schubert varieties.
    Advances in Math. 220 (2009), no. 2, 505--522. 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.

  • (with P.-E. Chaput and L. Manivel) Quantum cohomology of minuscule homogeneous spaces II: hidden symmetries.
    IMRN 2007, no. 22. PDF.

  • (with P.-E. Chaput and L. Manivel) Quantum cohomology of minuscule homogeneous spaces.
    Transform. Groups 13 (2008), no. 1, 47--89. PDF.

  • Small codimension smooth subvarieties in even-dimensional homogeneous spaces with Picard group Z.
    CRAS 345 (2007), no. 3, 155--160. PDF.

  • Small resolutions of minuscule Schubert varieties.
    Compositio Math. 143 (2007), 1255--1312. 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.

  • Rational curves on minuscule Schubert varieties.
    J. Algebra 294 (2005), no. 2, 431--462. PDF.

  • Déformations de fibrés vectoriels sur les variétés de dimension 3.
    Manuscripta Math. 116 (2005), no. 4, 449--474 PDF..

  • Rational curves on homogeneous cones.
    Doc. Math. 9 (2004), 623--637 (electronic). PDF.

  • Deux composantes du bord de $I_3$.
    Bulletin de la SMF 130 (2002), no. 4, 537--572. PDF.

  • Lieu singulier des surfaces rationnelles réglées.
    Math. Zeit. 241 (2002), no. 2, 375--396. PDF.

  • Limites de fibrés vectoriels dans $M_{Q_3}(0,2,0)$.
    CRAS 334 (2002), no. 9, 779--782. PDF.

  • Courbes rationnelles sur les variétés homogènes.
    Ann. Inst. Fourier 52 (2002), no. 1, 105--132. PDF.

  • Une composante du bord des instantons de degré 3.
    CRAS 330 (2000), no. 3, 217--220. PDF.
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    Thesis:

  • Habilitation (in french): Géometrie des espaces homogènes rationnels, courbes rationnelles et combinatoire. PDF.


  • Last change: 26.02.2014.