Irreducible components of affine Deligne–Lusztig varieties
نویسندگان
چکیده
By extending the method of semi-modules developed by de Jong, Oort, Viehmann and Hamacher, we introduce a stratification for affne Deligne-Lusztig variety (in Grassmannian) attached to minuscule cocharacter basic element. As an application, complete proof conjecture on irreducible components varieties, due Miaofen Chen Xinwen Zhu.
منابع مشابه
Irreducible components of characteristic varieties
We give a dimension bound on the irreducible components of the characteristic variety of a system of linear partial di.erential equations de0ned from a suitable 0ltration of the Weyl algebra An. This generalizes an important consequence of the fact that a characteristic variety de0ned from the order 0ltration is involutive. More explicitly, we consider a 0ltration of An induced by any vector (u...
متن کاملOn the Irreducible Components of Characteristic Varieties
This is a quick survey on the characteristic varieties associated to rank one local systems on a smooth, irreducible, quasi-projective complex variety M . A key new result is Proposition 1.8, giving additional information on the constructible sheaf F = Rf∗(L), where L is a rank one local system on M and f : M → S is a surjective morphism with S a smooth curve and the generic fiber F of f connec...
متن کاملIrreducible components of the Jordan varieties
We consider the question of ’classificiation’ of finite-dimensional modules over the Jordan algebra R = k〈x, y〉/(xy − yx− y). Complete description of irreducible components of the representation variety mod(R, n) of Jordan algebra is given for any dimension n. It is obtained on the basis of the stratification of this variety related to the Jordan normal form of Y . Any irreducible component of ...
متن کاملConnected Components of Affine Deligne-lusztig Varieties in Mixed Characteristic
We determine the set of connected components of minuscule affine Deligne-Lusztig varieties for special maximal compact subgroups of unramified connected reductive groups. Partial results are also obtained for non-minuscule closed affine Deligne-Lusztig varieties. We consider both the function field case and its analog in mixed characteristic. In particular, we determine the set of connected com...
متن کاملConnected Components of Closed Affine Deligne-lusztig Varieties
We determine the set of connected components of closed affine Deligne-Lusztig varieties for special maximal compact subgroups of split connected reductive groups. We show that there is a transitive group action on this set. Thus such an affine Deligne-Lusztig variety has isolated points if and only if its dimension is 0. We also obtain a description of the set of these varieties that are zero-d...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Cambridge journal of mathematics
سال: 2022
ISSN: ['2168-0930', '2168-0949']
DOI: https://doi.org/10.4310/cjm.2022.v10.n2.a2