- Title Information
- Title
- 1-Motives with Torsion and Cartier Duality
- Name:
Personal
- Name Part
- Park, Donghoon
- Role
- Role Term:
Text
- creator
- Origin Information
- Copyright Date
(keyDate="yes", encoding="w3cdtf")
- 2009
- Physical Description
- Extent
- vi, 81 p.
- digitalOrigin
- born digital
- Note
- Thesis (Ph.D.) -- Brown University (2009)
- Name:
Personal
- Name Part
- Lichtenbaum, Stephen
- Role
- Role Term:
Text
- director
- Name:
Personal
- Name Part
- Lichtenbaum, Stephen
- Role
- Role Term:
Text
- reader
- Name:
Personal
- Name Part
- Goncharov, Alexander
- Role
- Role Term:
Text
- reader
- Name:
Personal
- Name Part
- Rosen, Michael
- Role
- Role Term:
Text
- reader
- Name:
Corporate
- Name Part
- Brown University. Mathematics
- Role
- Role Term:
Text
- sponsor
- Genre (aat)
- theses
- Abstract
- We define a category of smooth 1-motives with torsion over a locally noetherian base scheme and prove its Cartier duality. More precisely, we prove that the category of smooth
1-motives with torsion is equivalent to the category trivializations of particular biextensions, and this implies the Cartier duality for smooth 1-motives with torsion. We also show that this
category has realization functors when the base scheme is a spectrum of a field. Cartier duality theorem was already proved in the case of 1-motives over a field by Deligne or Ramachandran. We
will extend this result to any locally noetherian base scheme and moreover to 1-motives with torsion. The category of smooth 1-motives with torsion is not an abelian cateogory, but there are
many realization functors as the category of 1-motives.
- Subject (Local)
- Topic
- smooth 1-motives with torsion
- Subject (Local)
- Topic
- Cartier duality
- Record Information
- Record Content Source (marcorg)
- RPB
- Record Creation Date
(encoding="iso8601")
- 20091218
- Language
- Language Term:
Code (ISO639-2B)
- eng
- Language Term:
Text
- English
- Identifier:
DOI
- 10.7301/Z0GQ6W14
- Access Condition:
rights statement
(href="http://rightsstatements.org/vocab/InC/1.0/")
- In Copyright
- Access Condition:
restriction on access
- Collection is open for research.
- Type of Resource (primo)
- dissertations