ON DEGENERATE SECANT VARIETIES OF SECANT DEFECT-2

Authors
Citation
M. Ohno, ON DEGENERATE SECANT VARIETIES OF SECANT DEFECT-2, Manuscripta mathematica, 93(2), 1997, pp. 189-204
Citations number
23
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
00252611
Volume
93
Issue
2
Year of publication
1997
Pages
189 - 204
Database
ISI
SICI code
0025-2611(1997)93:2<189:ODSVOS>2.0.ZU;2-N
Abstract
We study projective manifolds with degenerate secant varieties under a ssumptions that the secant defect is two and that the Gauss maps of se cant varieties have the largest images. In particular we classify 7-di mensional projective manifolds with 13-dimensional degenerate secant v arieties whose Gauss maps have 10-dimensional images. We also determin e Del Pezzo fibrations over curves with smallest embedded codimension in the case that the degree of a general fiber is three or four.