Sökning: "Classifying stack"

Hittade 3 avhandlingar innehållade orden Classifying stack.

1. 1. Destackification and Motivic Classes of Stacks

   Författare :Daniel Bergh; David Rydh; Dan Edidin; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Algebraic geometry; Algebraic stacks; Destackification; Grothendieck ring; Motive; Torus; Classifying stack; Mathematics; matematik;

   Sammanfattning : This thesis consists of three articles treating topics in the theory of algebraic stacks. The first two papers deal with motivic invariants. In the first, we show that the class of the classifying stack BPGLn is the inverse of the class of PGLn in the Grothendieck ring of stacks for n ≤ 3. LÄS MER

3. 2. Computations in the Grothendieck Group of Stacks

   Författare :Daniel Bergh; Torsten Ekedahl; David Rydh; Jochen Heinloth; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; matematik;

   Sammanfattning : Given an algebraic group, one may consider the class of its classifying stackin the Grothendieck group of stacks. This is an invariant studied byEkedahl. For certain connected groups, called the special groups bySerre and Grothendieck, the invariant simply gives the inverse of the class ofthe group itself. LÄS MER

4. 3. Ekedahl Invariants, Veronese Modules and Linear Recurrence Varieties

   Författare :Ivan Martino; Anders Björner; Volkmar Welker; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Ekedahl Invariants; Noether Problem; Bogomolov Multiplier; Cyclic quotient singularities; Veronese Modules; Pile simplicial complex; Semigroup Rings; Betti Numbers; Mathematics; matematik;

   Sammanfattning : The title of this thesis refers to the three parts of which it is composed.The first part concerns the Ekedahl Invariants, new geometric invariants for finite groups introduced in 2009 by Torsten Ekedahl. LÄS MER