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arxiv: 0909.2964 · v3 · submitted 2009-09-16 · 🧮 math.AG

Koszul cohomology and singular curves

classification 🧮 math.AG
keywords cohomologycurveskoszulnodalconjecturescurvegeneralgreen
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We investigate Koszul cohomology on irreducible nodal curves. In particular, we prove both Green and Green-Lazarsfeld conjectures for the general k-gonal nodal curve.

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