Special Linear Series and Syzygies of Canonical Curves of Genus 9
نویسنده
چکیده
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 4dimensional rational normal scroll X ⊂ P constructed from a base point free pencil of divisors of degree 5.
منابع مشابه
Syzygies of 5-Gonal Canonical Curves
We show that for 5-gonal curves of odd genus g ≥ 13 and even genus g ≥ 28 the ⌈ g−1 2 ⌉-th syzygy module of the curve is not determined by the syzygies of the scroll swept out by the special pencil of degree 5. 2010 Mathematics Subject Classification: 13D02,14H51
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