منابع مشابه
Equivariant Zariski structures
A new class of noncommutative k-algebras (for k an algebraically closed field) is defined and shown to contain some important examples of quantum groups. To each such algebra, a first order theory is assigned describing models of a suitable corresponding geometric space. Model-theoretic results for these geometric structures are established (uncountable categoricity, quantifier elimination to t...
متن کاملAnalytic Zariski Structures and Non-elementary Categoricity
We study analytic Zariski structures from the point of view of non-elementary model theory. We show how to associate an abstract elementary class with a one-dimensional analytic Zariski structure and prove that the class is stable, quasi-minimal and homogeneous over models. We also demonstrate how Hrushovski’s predimension arises in this general context as a natural geometric notion and use it ...
متن کاملAnalytic Zariski structures, predimensions and non-elementary stability
The notion of an analytic Zariski structure was introduced in [1] by the author and N.Peatfield in a form slightly different from the one presented here. Analytic Zariski generalises the previously known notion of a Zariski structure (see [2] for one-dimensional case and [3], [4] for the general definition) mainly by dropping the requirement of Noetherianity and weakening the assumptions on the...
متن کاملComputing the equivariant Euler characteristic of Zariski and étale sheaves on curves
We prove an equivariant Grothendieck-Ogg-Shafarevich formula. This formula may be viewed as an étale analogue of well-known formulas for Zariski sheaves which were proved by Ellingsrud/Lønsted and Nakajima and for which we give a new approach in this paper. Mathematics Subject Classification 2000. 14F20; 14L30; 14H30.
متن کامل2 00 1 Computing the equivariant Euler characteristic of Zariski and étale sheaves on curves
The object of this paper is to develop and prove an equivariant Grothendieck-OggShafarevich formula. Let k be an algebraically closed field, X a connected smooth projective curve over k and G a finite subgroup of Aut(X/k) of order n. Furthermore, let l 6= char(k) be a prime and F a constructible Fl-sheaf on the étale site Xét which carries a G-action compatible with the given G-action on X. The...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2015
ISSN: 0024-6107
DOI: 10.1112/jlms/jdv010