Please use this identifier to cite or link to this item: doi:10.22028/D291-26099
Title: Special linear series and syzygies of canonical curves of genus 9
Author(s): Sagraloff, Michael
Language: English
Year of Publication: 2005
SWD key words: Kanonische Kurve
DDC notations: 510 Mathematics
Publikation type: Dissertation
Abstract: In this thesis we give a complete description of the syzygies of irreducible, nonsingular, canoncial curves C of genus 9. This includes a collection of all possible Betti tables for C. Moreover a direct correspondence between these Betti tables and the number and types of special linear series on C is given. Especially for Cliff(C) = 3 the curve C is contained in determinantal surface Y on a 4-dimensional rational normal scroll Xsubsetmathbb{P}^{8} constructed from a base point free pencil of divisors of degree 5.
Link to this record: urn:nbn:de:bsz:291-scidok-38346
Advisor: Schreyer, Frank-Olaf
Date of oral examination: 24-Nov-2005
Date of registration: 10-Aug-2011
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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