Defect and Hodge numbers of hypersurfaces

Defect and Hodge numbers of hypersurfaces

We define defect for hypersurfaces with A-D-E singularities in complex projective normal Cohen–Macaulay fourfolds having some vanishing properties of Bott-type and prove formulae for Hodge numbers of big resolutions of such hypersurfaces. We compute Hodge numbers of Calabi–Yau manifolds obtained as...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Advances in geometry 2008-04, Vol.8 (2), p.257-288
1. Verfasser: Rams, Sławomir
Format: Artikel
Sprache:eng
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We define defect for hypersurfaces with A-D-E singularities in complex projective normal Cohen–Macaulay fourfolds having some vanishing properties of Bott-type and prove formulae for Hodge numbers of big resolutions of such hypersurfaces. We compute Hodge numbers of Calabi–Yau manifolds obtained as small resolutions of cuspidal triple sextics and double octics with higher A j singularities.
ISSN:1615-715X
1615-7168
DOI:10.1515/ADVGEOM.2008.017