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Accueil du site > Directory > Nicolas Perrin > Nicolas Perrin: papers > Papers (in english)

Papers (in english)


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.

 


To appear:

- (with J. A. Cruz Morales, A. Mellit, M. Smirnov and an appendix by A. Kuznetsov) On quantum cohomology of Grassmannians of isotropic lines, unfoldings of A_n-singularities, and Lefschetz exceptional collections.
To appear in Annales de l’Institut Fourier . PDF

- (with J. Hornbostel) Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians.
To appear in Pacific J. of Mathematics. PDF

- Sanya lecure : geometry of spherical varieties. 2017.
To appear in Acta Mathematica Sinica. PDF

- (with A.S. Buch, P.-E. Chaput and L. Mihalcea) A Chevalley formula for the equivariant quantum K-theory of cominuscule varieties. 2016.
To appear in Algebraic Geometry. PDF

- (with A. Buch, P.-E. Chaput and L. Mihalcea) Projected Gromov-Witten varieties in cominuscule spaces. 2013.
To appear in Proceedings of the AMS. PDF

 


Publications:

- (with P. Achinger) Spherical multiple flag varieties. 2013.
In Schubert Calculus – Osaka 2012,
Advanced Studies of Pure Mathematics vol. 71, 2017. PDF.

- (with A. Buch, P.-E. Chaput and L. Mihalcea) Rational connectedness implies finiteness of quantum K-theory.
Asian Journal of Mathematics. 20 (2016), no. 1, 117—122 PDF.

- Split subvarieties of group embeddings.
Transactions of the AMS. 367 (2015), no. 12, 8421—8438 PDF.

- 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.

 


Thesis:

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