Kreidl, Martin:
Spaces of lattices in equal and mixed characterstics
Duisburg, Essen, 2010
Dissertation / Fach: Mathematik
Fakultät für Mathematik
Titel:
Spaces of lattices in equal and mixed characterstics
Autor(in):
Kreidl, Martin
Betreuer(in), Doktorvater:
Görtz, Ulrich
Erscheinungsort:
Duisburg, Essen
Erscheinungsjahr:
2010
Umfang:
IX, 93 S.
DuEPublico ID:
URN:
Signatur der UB:
Notiz:
Duisburg, Essen, Univ., Diss., 2010

Abstract:

We investigate the affine Grassmannian for the special linear group, and its Schubert varieties. In (positive) equal characteristic, we give an alternative way to construct Demazure resolutions of these Schubert varieties as subvarieties of a multigraded Hilbert scheme. In mixed characteristics, we investigate the approach by Haboush to construct in a similar way Schubert varieties for the p-adic affine Grassmannian. Moreover, we investigate which results on the affine Grassmannian can be carried over from the function field case to the p-adic case.