Green-Lazarsfeld's Conjecture for Generic Curves of Large Gonality
classification
🧮 math.AG
math.AC
keywords
conjecturecurvesgenericgonalitygreen-lazarsfeldcanonicalgenusgreen
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We use Green's canonical syzygy conjecture for generic curves to prove that the Green-Lazarsfeld gonality conjecture holds for generic curves of genus g, and gonality d, if $g/3<d<[g/2]+2$.
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