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Irreducible components of affine Deligne-Lusztig varieties

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arxiv 1809.03683 v8 pith:FLRGF3JI submitted 2018-09-11 math.AG math.RT

Sian Nie This is my paper · ORCID
classification math.AGmath.RT
keywords affnedeligne-lusztigattachedcomponentsirreduciblevarietiesaffineapplication
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By extending the method of semi-modules developed by de Jong, Oort, Viehmann and Hamacher, we introduce a stratification for the affne Deligne-Lusztig variety (in the affne Grassmannian) attached to attached to a minuscule cocharacter and a basic element. As an application, we complete the proof of a conjecture on the irreducible components of affne Deligne-Lusztig varieties, due to Miaofen Chen and Xinwen Zhu.

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