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Soit une variété homogène sous un groupe . Nous étudions les orbites maximales de
sous l’action d’un parabolique de . Nous les décomposons en fibrations affines et
projectives. Cette description permet de montrer que le schéma de Hilbert des courbes
rationnelles lisses de classe fixée est non vide et irréductible.
We establish when the partial orders and coincide for all modules of the same dimension from the additive category of a generalized standard almost cyclic coherent component of the Auslander-Reiten quiver of a finite-dimensional algebra.
Using Deodhar’s decomposition of a double Schubert cell, we study the regular representations of finite groups of Lie type arising in the cohomology of Deligne-Lusztig varieties associated to tori. We deduce that the Deligne-Lusztig restriction of a Gelfand-Graev module is a shifted Gelfand-Graev module.
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