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An introduction to presheaves with transfers and motivic cohomology

Abstract

The construction of motivic cohomology theories has generated a lot of new research activities in algebraic geometry in the last years. In this work some preliminary ideas of schemes and morphisms, some homological algebra in abelian categories and Grothendieck topologies are given.The connection between Milnor and Quillen K-theory of fields is defined as well as the motivic cohomology and Bloch's higher Chou groups.
Authors:
Biglari, Shahram [1] 
  1. Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Publication Date:
Aug 01, 2001
Product Type:
Technical Report
Report Number:
IC-2001/95
Reference Number:
EDB-01:093189
Resource Relation:
Other Information: PBD: Aug 2001
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLOCH THEORY; FIELD ALGEBRA; FIELD THEORIES; GEOMETRY; GROUP THEORY; SMOOTH MANIFOLDS; TOPOLOGY
OSTI ID:
20198956
Research Organizations:
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
TRN: XA0103105048883
Availability:
Available from INIS in electronic form; Also available at: http://www.ictp.trieste.it
Submitting Site:
INIS
Size:
37 pages
Announcement Date:
Nov 01, 2001

Citation Formats

Biglari, Shahram. An introduction to presheaves with transfers and motivic cohomology. IAEA: N. p., 2001. Web.
Biglari, Shahram. An introduction to presheaves with transfers and motivic cohomology. IAEA.
Biglari, Shahram. 2001. "An introduction to presheaves with transfers and motivic cohomology." IAEA.
@misc{etde_20198956,
title = {An introduction to presheaves with transfers and motivic cohomology}
author = {Biglari, Shahram}
abstractNote = {The construction of motivic cohomology theories has generated a lot of new research activities in algebraic geometry in the last years. In this work some preliminary ideas of schemes and morphisms, some homological algebra in abelian categories and Grothendieck topologies are given.The connection between Milnor and Quillen K-theory of fields is defined as well as the motivic cohomology and Bloch's higher Chou groups.}
place = {IAEA}
year = {2001}
month = {Aug}
}