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arXiv · 1403.2516

Secant spaces and syzygies of special line bundles on curves

Marian Aprodu·Edoardo Sernesi
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Abstract

On a special line bundle $L$ on a projective curve $C$ we introduce a geometric condition called $(Δ_q)$. When $L=K_C$ this condition implies gon$(C) \ge q+2$. For an arbitrary special $L$ we show that $(Δ_3)$ implies that $L$ has the well-known property $(M_3)$, generalizing a similar result proved by Voisin in the case $L=K_C$.

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Marian Aprodu, Edoardo Sernesi. 2014-03-11. Secant spaces and syzygies of special line bundles on curves. https://doi.org/10.2140/ant.2015.9.585

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