Sökning: "Étale Cohomology"

Hittade 3 avhandlingar innehållade orden Étale Cohomology.

1. 1. Stacky Modifications and Operations in the Étale Cohomology of Number Fields

   Författare :Eric Ahlqvist; David Rydh; Alexander Schmidt; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; stacks; ramified covers; étale cohomology; cup product; Massey product; Galois cohomology; building data; 2-cocycles; Matematik; Mathematics;

   Sammanfattning : This thesis consists of 4 papers. In Paper A we define stacky building data for stacky covers in the spirit of Pardini and give an equivalence of (2,1)- categories between the category of stacky covers and the category of stacky building data. LÄS MER

3. 2. Building Data for Stacky Covers and the Étale Cohomology Ring of an Arithmetic Curve : Du som saknar dator/datorvana kan kontakta [email protected] för information

   Författare :Eric Ahlqvist; David Professor; Niels Borne; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Étale Cohomology; Number Field; Cup Product; Stacky Covers; Building Data; Ramified Covers; Mathematics; Matematik;

   Sammanfattning : This thesis consists of two papers with somewhat different flavours. In Paper I we compute the étale cohomology ring H^*(X,Z/nZ) for X the ring of integers of a number field K. As an application, we give a non-vanishing formula for an invariant defined by Minhyong Kim. LÄS MER

4. 3. Abelian affine group schemes, plethories, and arithmetic topology

   Författare :Magnus Carlson; Tilman Bauer; Minhyong Kim; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : In Paper A we classify plethories over a field of characteristic zero. All plethories over characteristic zero fields are ``linear", in the sense that they are free plethories on a bialgebra. For the proof of this classification we need some facts from the theory of ring schemes where we extend previously known results. LÄS MER