The Wahl map of one-nodal curves on K3 surfaces
classification
🧮 math.AG
keywords
wahlwidetildeconsidercurvecurvesgeneralgenusnodal
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We consider a general primitively polarized K3 surface $(S,H)$ of genus $g+1$ and a 1-nodal curve $\widetilde C\in |H|$. We prove that the normalization $C$ of $\widetilde C$ has surjective Wahl map provided $g=40,42$ or $\ge 44$.
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