Abstract/Details

The quaternionic Riemann -Roch theorem


2002 2002

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Abstract (summary)

The aim is to define what it means to be a meromorphic section of a quaternionic holomorphic vector bundle over a compact Riemann surface and then prove a version of the Riemann-Rock theorem for divisors that generalizes the classical theorem. A meromorphic section of a quaternionic spin bundle provides Weierstrass data (modulo period conditions) for a conformal map into Euclidean three space with prescribed mean curvature half density.

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences, Holomorphic bundles, Quaternionic, Riemann-Roch theorem
Title
The quaternionic Riemann -Roch theorem
Author
Auth, Matthew Leonard
Number of pages
77
Publication year
2002
Degree date
2002
School code
0118
Source
DAI-B 63/01, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
ISBN
9780493525549, 0493525548
Advisor
Pedit, Franz
University/institution
University of Massachusetts Amherst
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertations & Theses
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
3039335
ProQuest document ID
251673825
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
http://search.proquest.com/docview/251673825
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