[Rationally smoothness of varieties of quiver representations]
Recent works are devoted to the rational smoothness of varieties of representations for quivers, notably those of Robert Bédard, Ralf Schiffler and Philippe Caldéro. Their main result is the equivalence for a variety of representations of a quiver of Dynkin type, between
Des travaux récents s'intéressent à la lissité rationnelle des variétés des représentations de carquois, notamment ceux de Robert Bédard, Ralf Schiffler et Philippe Caldéro. Leur principal résultat est léquivalence pour une variété de représentations d'un carquois de type Dynkin, entre
Accepted:
Published online:
Alberto Arabia 1
@article{CRMATH_2004__338_4_267_0, author = {Alberto Arabia}, title = {Lissit\'e rationnelle des vari\'et\'es de repr\'esentations d'un carquois}, journal = {Comptes Rendus. Math\'ematique}, pages = {267--270}, publisher = {Elsevier}, volume = {338}, number = {4}, year = {2004}, doi = {10.1016/j.crma.2003.12.012}, language = {fr}, }
Alberto Arabia. Lissité rationnelle des variétés de représentations d'un carquois. Comptes Rendus. Mathématique, Volume 338 (2004) no. 4, pp. 267-270. doi : 10.1016/j.crma.2003.12.012. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2003.12.012/
[1] Classes d'Euler équivariantes et points rationnellement lisses, Ann. Inst. Fourier, Volume 48 (1998) no. 3, pp. 861-912
[2] Rational smoothness of varieties of representations for quivers of type A, Representation Theory, Volume 7 (2003), pp. 481-548
[3] Rational smoothness and fixed points of torus actions, Transformation Groups, Volume 4 (1999), pp. 127-156
[4] arXiv
(Rational smoothness of varieties of representations for quivers of Dynkin type, Prépublication) |[5] Local Poincaré duality and nonsingularity of Schubert varieties, Comm. Algebra, Volume 13 (1985) no. 6, pp. 1379-1388
[6] Singular locus of a Schubert variety, Bull. Amer. Math. Soc. (N.S.), Volume 11 (1984) no. 2, pp. 363-366
[7] Finite dimensional Hopf algebras arising from quantized universal enveloping algebras, J. Amer. Math. Soc., Volume 3 (1990), pp. 257-296
[8] Canonical bases arising from quantized enveloping algebras, J. Amer. Math. Soc., Volume 3 (1990), pp. 447-498
Cited by Sources:
Comments - Policy