Essential Dimension and Canonical Dimension of Gerbes Banded by Groups of Multiplicative Type
نویسنده
چکیده
We prove the formula ed(X ) = cdim(X ) + ed(A) for any gerbe X banded by an algebraic group A which is the kernel of a homomorphism of algebraic tori Q → S with Q invertible and S split. This result is applied to prove new results on the essential dimension of algebraic groups.
منابع مشابه
A Fiber Dimension Theorem for Essential and Canonical Dimension
The well-known fiber dimension theorem in algebraic geometry says that for every morphism f : X → Y of integral schemes of finite type, the dimension of every fiber of f is at least dimX−dimY . This has recently been generalized by P. Brosnan, Z. Reichstein and A. Vistoli to certain morphisms of algebraic stacks f : X → Y , where the usual dimension is replaced by essential dimension. We will p...
متن کاملNonholonomic Gerbes, Riemann–lagrange Spaces, and the Atiyah–singer Theorems
In this paper, nonholonomic gerbes will be naturally derived for manifolds and vector bundle spaces provided with nonintegrable distributions (in brief, nonholonomic spaces). An important example of such gerbes is related to distributions defining nonlinear connection (N–connection) structures. They geometrically unify and develop the concepts of Riemann–Cartan manifolds and Lagrange–Finsler sp...
متن کاملرابطه استفاده از امکانات محلی با بعد اقتصادی مقتدرسازی
Objectives: The main objective of the paper is finding solution to make selfhelp group's performance better in Behzisti organization. Recently empowerment theory is replaced the social policy theories. Empowerment has five dimensions: income, accessibility, consciousness, control and participation. All of the dimensions are important and ought to be actualized. But based on the idea of the...
متن کاملرابطه استفاده از امکانات محلی با بعد اقتصادی مقتدرسازی
Objectives: The main objective of the paper is finding solution to make selfhelp group's performance better in Behzisti organization. Recently empowerment theory is replaced the social policy theories. Empowerment has five dimensions: income, accessibility, consciousness, control and participation. All of the dimensions are important and ought to be actualized. But based on the idea of the...
متن کاملThe relationship between HEXACO personality dimensions and type D personality
Abstract This present study aims to consider the relationship between type D personality and HEXACO personality dimensions. The statistical population was included all of the students of Islamic Azad University of Tabriz and 242 people were selected by the one–stage cluster sampling as the statistical sample. Then the participants filled HEXACO-PI and D-14 questionnaires. This stu...
متن کامل