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- W2899114211 abstract "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, secondly, we prove a converse to Aprodu's Projection Theorem. Applying these results, we prove that extremal syzygies of general curves of non-maximal gonality embedded by a linear system of sufficiently high degree arise from scrolls. Lastly, we prove Green's Conjecture for general covers of elliptic curves (of arbitrary degree) as well as proving a new result for curves of even genus and maximal gonality." @default.
- W2899114211 created "2018-11-09" @default.
- W2899114211 creator A5042610396 @default.
- W2899114211 date "2018-11-02" @default.
- W2899114211 modified "2023-09-27" @default.
- W2899114211 title "Projecting Syzygies of Curves" @default.
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