Subvarieties of generic complete intersections. II (original) (raw)
1991, Mathematische Annalen
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This paper investigates the Hilbert scheme of a generic complete intersection in a Grassmann variety, specifically examining the properties of smooth projective subvarieties within this context. The authors demonstrate that under certain conditions, every smooth projective subvariety is of general type, thereby generalizing earlier results related to curves on hypersurfaces. Additionally, the study explores the implications of Koszul resolutions and discusses potential connections to existing conjectures in the field.
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