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Castelnuovo surface

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In mathematics, a Castelnuovo surface is a surface of general type such that the canonical bundle is very ample and such that c12 = 3pg − 7. Guido Castelnuovo proved that if the canonical bundle is very ample for a surface of general type then c12 ≥ 3pg − 7.

Construction

Invariants

References

  • Barth, Wolf P.; Hulek, Klaus; Peters, Chris A.M.; Van de Ven, Antonius (2004), Compact Complex Surfaces, Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge., 4, Springer-Verlag, Berlin, ISBN 978-3-540-00832-3 



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