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Erratum to: “Complex Lagrangian embeddings of moduli spaces of vector bundles” [Differential Geom. Appl. 14 (2001) 151–156]

✍ Scribed by U. Bruzzo; F. Pioli


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
11 KB
Volume
15
Category
Article
ISSN
0926-2245

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✦ Synopsis


Moreover, the following "Note added in proof" should have been included: Note added. In the case where g(C) = 4 one can use the fact that

that is, the sufficient condition for smoothness is not satisfied. The isotropicity condition yields the inequality dim M J (C) (r, d) 6r 2 + 2.

On the other hand, if [E] is a smooth point of the moduli space corresponding to a vector bundle E, we have

), whence the inequality h 2 (End 0 (E)) 12r 2 -4 > 0 follows.