منابع مشابه
On Unramified Morphisms of Affine Varieties into Simply Connected Non-singular Affine Varieties
The Jacobian Conjecture is the following : If φ ∈ Endk(Ank ) with a field k of characteristic zero is unramified, then φ is an automorphism. In this paper, This conjecture is proved affirmatively in the abstract way instead of treating variables in a polynomial ring. Let k be an algebraically closed field, let Ak = Max(k[X1, . . . , Xn]) be an affine space of dimension n over k and let f : Ak −...
متن کاملDimensions of Affine Deligne-Lusztig Varieties in Affine Flag Varieties
Affine Deligne-Lusztig varieties are analogs of DeligneLusztig varieties in the context of an affine root system. We prove a conjecture stated in the paper [5] by Haines, Kottwitz, Reuman, and the first named author, about the question which affine DeligneLusztig varieties (for a split group and a basic σ-conjugacy class) in the Iwahori case are non-empty. If the underlying algebraic group is a...
متن کاملAffine Deligne-lusztig Varieties in Affine Flag Varieties
This paper studies affine Deligne-Lusztig varieties in the affine flag manifold of a split group. Among other things, it proves emptiness for certain of these varieties, relates some of them to those for Levi subgroups, extends previous conjectures concerning their dimensions, and generalizes the superset method.
متن کاملMorphisms of Varieties over Ample Fields
We strengthen a result of Michiel Kosters by proving the following theorems: (*) Let φ: W → V be a finite surjective morphism of algebraic varieties over an ample field K. Suppose V has a simple K-rational point a such that a / ∈ φ(W (Kins)). Then, card(V (K)rφ(W (K)) = card(K). (**) Let K be an infinite field of positive characteristic and let f ∈ K[X] be a nonconstant monic polynomial. Suppos...
متن کاملPiecewise Morphisms of Birational Foliated Varieties
In this article, we study birational varieties with 1-dimensional foliation and induced piecewise morphisms. Let X and Y be smooth complete complex varieties. Consider a birational map f : X · · · → Y . By definition, f is not generally defined all over X. We observe that if X has some one-dimensional foliation, it is possible to extend f to the whole space X as a piecewise morphism (that is, a...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1993
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1993-1146862-0