Special Linear Series and Syzygies of Canonical Curves of Genus 9
Sagraloff, Michael
Original · EN
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 X⊂ P⁸ constructed from a base point free pencil of divisors of degree 5.
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