Staff View
Generalized Brauer dimension of semi-global fields

Descriptive

TitleInfo
Title
Generalized Brauer dimension of semi-global fields
Name (type = personal)
NamePart (type = family)
Gosavi
NamePart (type = given)
Saurabh
NamePart (type = date)
1990-
DisplayForm
Saurabh Gosavi
Role
RoleTerm (authority = RULIB)
author
Name (type = personal)
NamePart (type = family)
Krashen
NamePart (type = given)
Daniel
DisplayForm
Daniel Krashen
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
chair
Name (type = personal)
NamePart (type = family)
Carbone
NamePart (type = given)
Lisa
DisplayForm
Lisa Carbone
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Weibel
NamePart (type = given)
Charles A.
DisplayForm
Charles A. Weibel
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
internal member
Name (type = personal)
NamePart (type = family)
Harbater
NamePart (type = given)
David
DisplayForm
David Harbater
Affiliation
Advisory Committee
Role
RoleTerm (authority = RULIB)
outside member
Name (type = corporate)
NamePart
Rutgers University
Role
RoleTerm (authority = RULIB)
degree grantor
Name (type = corporate)
NamePart
School of Graduate Studies
Role
RoleTerm (authority = RULIB)
school
TypeOfResource
Text
Genre (authority = marcgt)
theses
Genre (authority = ExL-Esploro)
ETD doctoral
OriginInfo
DateCreated (qualifier = exact); (encoding = w3cdtf); (keyDate = yes)
2020
DateOther (type = degree); (qualifier = exact); (encoding = w3cdtf)
2020-10
Language
LanguageTerm (authority = ISO 639-3:2007); (type = text)
English
Abstract (type = abstract)
Let $F$ be a one variable function field over a complete discretely valued field with residue field $k$. Let $n$ be a positive integer, coprime to the characteristic of $k$. Given a finite subgroup $B$ in the $n$-torsion part of the Brauer group ${}_{n}br(F)$, we define the index of $B$ to be the minimum of the degrees of field extensions which split all elements in $B$. In this thesis, we improve an upper bound for the index of $B$, given by Parimala-Suresh, in terms of arithmetic invariants of $k$ and $k(t)$. As a simple application of our result, given a quadratic form $q/F$, where $F$ is a function field in one variable over an $m$-local field, we provide an upper-bound to the minimum of degrees of field extensions $L/F$ so that the Witt index of $q otimes L$ becomes the largest possible.
Subject (authority = local)
Topic
Brauer group
Subject (authority = RUETD)
Topic
Mathematics
RelatedItem (type = host)
TitleInfo
Title
Rutgers University Electronic Theses and Dissertations
Identifier (type = RULIB)
ETD
Identifier
ETD_10826
PhysicalDescription
Form (authority = gmd)
InternetMediaType
application/pdf
InternetMediaType
text/xml
Extent
1 online resource (vii, 123 pages)
Note (type = degree)
Ph.D.
Note (type = bibliography)
Includes bibliographical references
RelatedItem (type = host)
TitleInfo
Title
School of Graduate Studies Electronic Theses and Dissertations
Identifier (type = local)
rucore10001600001
Location
PhysicalLocation (authority = marcorg); (displayLabel = Rutgers, The State University of New Jersey)
NjNbRU
Identifier (type = doi)
doi:10.7282/t3-3v35-h066
Back to the top

Rights

RightsDeclaration (ID = rulibRdec0006)
The author owns the copyright to this work.
RightsHolder (type = personal)
Name
FamilyName
Gosavi
GivenName
Saurabh
Role
Copyright Holder
RightsEvent
Type
Permission or license
DateTime (encoding = w3cdtf); (qualifier = exact); (point = start)
2020-04-25 11:41:21
AssociatedEntity
Name
Saurabh Gosavi
Role
Copyright holder
Affiliation
Rutgers University. School of Graduate Studies
AssociatedObject
Type
License
Name
Author Agreement License
Detail
I hereby grant to the Rutgers University Libraries and to my school the non-exclusive right to archive, reproduce and distribute my thesis or dissertation, in whole or in part, and/or my abstract, in whole or in part, in and from an electronic format, subject to the release date subsequently stipulated in this submittal form and approved by my school. I represent and stipulate that the thesis or dissertation and its abstract are my original work, that they do not infringe or violate any rights of others, and that I make these grants as the sole owner of the rights to my thesis or dissertation and its abstract. I represent that I have obtained written permissions, when necessary, from the owner(s) of each third party copyrighted matter to be included in my thesis or dissertation and will supply copies of such upon request by my school. I acknowledge that RU ETD and my school will not distribute my thesis or dissertation or its abstract if, in their reasonable judgment, they believe all such rights have not been secured. I acknowledge that I retain ownership rights to the copyright of my work. I also retain the right to use all or part of this thesis or dissertation in future works, such as articles or books.
Copyright
Status
Copyright protected
Availability
Status
Open
Reason
Permission or license
Back to the top

Technical

RULTechMD (ID = TECHNICAL1)
ContentModel
ETD
OperatingSystem (VERSION = 5.1)
windows xp
CreatingApplication
Version
1.5
ApplicationName
pdfTeX-1.40.20
DateCreated (point = end); (encoding = w3cdtf); (qualifier = exact)
2020-09-28T19:39:26
DateCreated (point = end); (encoding = w3cdtf); (qualifier = exact)
2020-09-28T19:39:26
Back to the top
Version 8.5.5
Rutgers University Libraries - Copyright ©2024