2 problems

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Conjectured syzygy vanishings for tangent developable surfaces of elliptic curves
Let $C$ be a smooth projective curve of genus $g=1$ , let $L$ be a line bundle on $C$ , and let $T$ be the tangent developable surface of the embedding $C\subseteq\mathbf{P}H^0(C,L)$ …
Conjectureopenelliptic-curves syzygies tangent-developablesarXiv posted 2 days ago
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Folk conjecture for tangent developable surfaces
Folk conjecture. The tangent developable surface $T$ satisfies Property $(N_p)$ for
Conjectureopencanonical-curves syzygies tangent-developablesarXiv posted 2 days ago

Conjectured syzygy vanishings for tangent developable surfaces of elliptic curves