Classification of embedded projective manifolds swept out by rational homogeneous varieties of codimension one

Kiwamu Watanabe

Vol. 252 (2011), No. 2, 493–497

DOI: 10.2140/pjm.2011.252.493

Abstract

We give a classification of embedded smooth projective varieties swept out by rational homogeneous varieties whose Picard number and codimension are one.

Keywords

swept out by rational homogeneous varieties, covered by lines, extremal contraction, Hilbert scheme

Mathematical Subject Classification 2010

Primary: 14J40, 14M17, 14N99

Secondary: 14D99

Milestones

Received: 12 January 2011

Accepted: 23 March 2011

Published: 29 October 2011