Gorenstein and Normal Properties of the Subregular Variety of a Variety of Special Lattices over Witt Vectors
نویسنده
چکیده
We recall the basic geometric properties of the projective variety Latn r (K) parametrizing a family of special lattices over Witt vectors proved in [Hab05, HS, San04]. They are ’Schubert varieties’ in the analog of the affine Grassmannian for G = SL(n) over a complete local field of mixed characteristic, and are normal and Gorenstein [HS]. In this paper, we prove that there exists a set of subvarieties of Latn r (K) that are also normal and Gorenstein. The set contains the subregular variety, that is, the complement of the smooth locus, of Latn r (K).
منابع مشابه
The Gorenstein and Normal Properties of the Subregular Variety of a Variety of Special Lattices over Witt Vectors
We recall the basic geometric properties of the projective variety Latn r (K) parametrizing a family of special lattices over Witt vectors proved in [Hab05, HS, San04]. In this paper, we prove that a particular set of subvarieties of Latn r (K) are normal and Gorenstein. The set contains the subregular variety, that is, the complement of the smooth locus, of Latn r (K).
متن کاملAssessing variety mixture of continuous spring wheat (Triticum aestivum L.) on grain yield and flour quality in Northeast China
Wheat (Triticum aestivum L.) variety mixtures represent a relatively unexplored avenue for maintaining yield and improving flour quality. A field experiment was conducted to examine the responses of three spring wheat varieties in pure variety and in variety mixtures under continuous cropping in Northeast China. Three modern spring wheat varieties, along with a three-variety mixture and a t...
متن کاملRegularity in residuated lattices
In this paper, we study residuated lattices in order to give new characterizations for dense, regular and Boolean elements in residuated lattices and investigate special residuated lattices in order to obtain new characterizations for the directly indecomposable subvariety of Stonean residuated lattices. Free algebra in varieties of Stonean residuated lattices is constructed. We introduce in re...
متن کاملMini-emulsion preparation, kinetics of reaction and physical properties of acrylic terpolymer lattices
In this study, stable lattices of terpolymer butyl acrylate, methyl methacrylate, and styrene were synthesized by a mini-emulsion polymerization technique using tert-butyl hydroperoxide TBHP/Fe2 /ethylenediaminetetraacetic acid/sodium formaldehyde sulfoxylate redox initiators at room temperature, and the kinetics of the reaction were studied. The reaction rate was obtained from periodic samplin...
متن کاملنگاهی به ژن درمانی، پیشرفتهای اخیر و چشم انداز آینده
Human gene therapy has attracted increasing attention as a highly encouraging therapeutic approach to treat wide variety of diseases, other than genetically inherited and monogenic disorders. This approach entails the introduction and expression of a variety of nucleic acids into human target cells for therapeutic purposes. In this article, we review the history, highlights, recently progresses...
متن کامل