Sökning: "Algebraic stacks"

Hittade 3 avhandlingar innehållade orden Algebraic stacks.

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. Blow-ups and normal bundles in derived algebraic geometry and beyond

   Författare :Jeroen Hekking; David Rydh; Marco Robalo; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; derived algebraic geometry; blow-ups; normal bundles; Weil restrictions; Matematik; Mathematics;

   Sammanfattning : The main part of this thesis, Part II, consists of four papers. A summary and background is provided in Part I.Paper A introduces blow-ups of derived schemes in arbitrary centers, which is a generalization of the quasi-smooth case from [KR19]. LÄS MER

4. 3. 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