The present paper is a natural continuation of the previous work [2] where we studied the second syzygy scheme of canonical curves. We find sufficient conditions ensuring that the second syzygy scheme of a genus– g curve of degree at least 2g+2 coincides with the curve. If the property (N2) is satisfied, the equality is ensured by a more general fact emphasized in [2] . If (N2) fails, then the analysis uses the known case of canonical curves.
Aprodu, M., Bruno, A., Sernesi, E. (2026). The second syzygy schemes of curves of large degree. JOURNAL OF PURE AND APPLIED ALGEBRA, 230(1) [10.1016/j.jpaa.2025.108148].
The second syzygy schemes of curves of large degree
Aprodu, Marian;Bruno, Andrea;Sernesi, Edoardo
2026-01-01
Abstract
The present paper is a natural continuation of the previous work [2] where we studied the second syzygy scheme of canonical curves. We find sufficient conditions ensuring that the second syzygy scheme of a genus– g curve of degree at least 2g+2 coincides with the curve. If the property (N2) is satisfied, the equality is ensured by a more general fact emphasized in [2] . If (N2) fails, then the analysis uses the known case of canonical curves.File in questo prodotto:
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