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Sorvali Dilatation and Spin Divisors on Riemann and Klein Surfaces

Title: Sorvali Dilatation and Spin Divisors on Riemann and Klein Surfaces.

Inaccessible until May 8, 2020 due to copyright restrictions.

Name(s): Almalki, Yahya Ahmed, author
Nolder, Craig, professor directing dissertation
Huffer, Fred W. (Fred William), committee member
Klassen, E. (Eric), 1958-, committee member
Klassen, E. (Eric), 1958-, committee member
van Hoeij, Mark, committee member
Florida State University, degree granting institution
College of Arts and Sciences, degree granting college
Department of Mathematics, degree granting department
Type of Resource: text
Genre: Text
Doctoral Thesis
Issuance: monographic
Date Issued: 2017
Publisher: Florida State University
Place of Publication: Tallahassee, Florida
Physical Form: computer
online resource
Extent: 1 online resource (71 pages)
Language(s): English
Abstract/Description: We review the Sorvali dilatation of isomorphisms of covering groups of Riemann surfaces and extend the definition to groups containing glide-reflections. Then we give a bound for the distance between two surfaces, one of them resulting from twisting the other at a decomposing curve. Furthermore, we study spin structures on Riemann and Klein surfaces in terms of divisors. In particular, we take a closer look at spin structures on hyperelliptic and p-gonal surfaces defined by divisors supported on branch points. Moreover, we study invariant spin divisors under automorphisms and anti-holomorphic involutions of Riemann surfaces.
Identifier: FSU_SUMMER2017_ALMALKI_fsu_0071E_14064 (IID)
Submitted Note: A Dissertation submitted to the Department of Mathematics in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
Degree Awarded: Summer Semester 2017.
Date of Defense: July 19, 2017.
Keywords: divisors, Klein, Riemann, Sorvali, Spin, Teichmuller
Bibliography Note: Includes bibliographical references.
Advisory Committee: Craig A. Nolder, Professor Directing Dissertation; Fred Huffer, University Representative; Eric Klassen, Committee Member; Mark Van Hoeij, Committee Member.
Subject(s): Mathematics
Persistent Link to This Record:
Owner Institution: FSU

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Almalki, Y. A. (2017). Sorvali Dilatation and Spin Divisors on Riemann and Klein Surfaces. Retrieved from