On degenerate secant varieties whose Gauss maps have the largest images

Masahiro Ohno

Vol. 187 (1999), No. 1, 151–175

DOI: 10.2140/pjm.1999.187.151

Abstract

We propose a class of projective manifolds with degenerate secant varieties, which class is wider than that of Scorza varieties, and study some properties of this class of manifolds. For example, we show that there is a strong restriction on dimensions of manifolds in this class. We also give classifications of such manifolds of low dimensions.

Milestones

Received: 3 February 1997

Revised: 18 November 1997

Published: 1 January 1999