Data di Pubblicazione:
2016
Citazione:
Syzygies of Prym and paracanonical curves of genus 8 / E. Colombo, G. Farkas, A. Verra, C. Voisin. - (2016 Dec 03).
Abstract:
By analogy with Green's Conjecture on syzygies of canonical curves, the Prym-Green conjecture predicts that the resolution of a general level p paracanonical curve of genus g is natural. The Prym-Green Conjecture is known to hold in odd genus for almost all levels. Probabilistic arguments strongly suggested that the conjecture might fail for level 2 and genus 8 or 16. In this paper, we present three geometric proofs of the surprising failure of the Prym-Green Conjecture in genus 8, hoping that the methods introduced here will shed light on all the exceptions to the Prym-Green Conjecture for genera with high divisibility by 2.
Tipologia IRIS:
24 - Pre-print
Elenco autori:
E. Colombo, G. Farkas, A. Verra, C. Voisin
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