Affine Deligne-Lusztig varieties and folded galleries governed by chimneys
Autor: | Milićević, Elizabeth, Schwer, Petra, Thomas, Anne |
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Rok vydání: | 2020 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | We characterize the nonemptiness and dimension problems for an affine Deligne-Lusztig variety $X_x(b)$ in the affine flag variety in terms of galleries that are positively folded with respect to a chimney. If the parabolic subgroup associated to the Newton point of b has rank 1, we then prove nonemptiness for a certain class of Iwahori-Weyl group elements x by explicitly constructing such galleries. Comment: 54 pages, 14 figures best viewed in color; final version to appear in Ann. Inst. Fourier |
Databáze: | arXiv |
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