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Erratum: A local proof of Petri’s conjecture at the general curve. (English) Zbl 1124.14301

Summary: A generation of symbols asserted for \(n\geq 0\) in the proof of Theorem 3.3 of the original paper in fact only holds for \(n>0\), thus undermining the proof of the theorem. A new version of Section 3.5 of the original paper is given, culminating in a corrected proof of Theorem 3.3. The author thanks Deepak Khosla for pointing out the gap in the previous version of the proof [J. Differ. Geom. 54, No. 1, 129–176 (2000; Zbl 1029.14011)].

MSC:

14H51 Special divisors on curves (gonality, Brill-Noether theory)
14H10 Families, moduli of curves (algebraic)
14C20 Divisors, linear systems, invertible sheaves

Citations:

Zbl 1029.14011
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Full Text: DOI Euclid