3 citations · 3 across the 2 of their papers we have counts for
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Universal Secant Bundles and Syzygies of Canonical Curves
Michael Kemeny
We introduce a relativization of the secant sheaves used by Ein, Green and Lazarsfeld and apply this construction to the study of syzygies of canonical curves. As a first applicati…
A Simple Proof of Voisin's Theorem for Canonical Curves of Even Genus
Michael Kemeny
We give a simple proof of Voisin's Theorem for general canonical curves of even genus. This completely determines the terms of the minimal free resolution of the coordinate ring of…
The Geometric Syzygy Conjecture in Even Genus
Michael Kemeny
We prove the Geometric Syzygy Conjecture for generic canonical curves of even genus. This result extends Green's classical result on the generation of the ideal of a canonical curv…
Projecting Syzygies of Curves
Michael Kemeny
We explore the concept of projections of syzygies and prove two new technical results; we firstly give a precise characterization of syzygy schemes in terms of their projections, s…
Syzygies of curves beyond Green's Conjecture
Michael Kemeny
We survey three results on syzygies of curves beyond Green's conjecture, with a particular emphasis on drawing connections between the study of syzygies and other topics in moduli…
Stable maps and singular curves on K3 surfaces
Michael Kemeny
In this thesis we study singular curves on K3 surfaces. Let denote the stack of polarised K3 surfaces of genus and set . There is a stack $ \…