Vol. 213, No. 1, 2004

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Some remarks on varieties with degenerate Gauss image

Emilia Mezzetti and Orsola Tommasi

Vol. 213 (2004), No. 1, 79–88
Abstract

We consider projective varieties with degenerate Gauss image whose focal hypersurfaces are non-reduced schemes. Examples of this situation are provided by the secant varieties of Severi and Scorza varieties. The Severi varieties are moreover characterized by a uniqueness property.

Milestones
Received: 24 October 2002
Revised: 11 February 2003
Published: 1 January 2004
Authors
Emilia Mezzetti
Dipartimento di Scienze Matematiche
Università di Trieste
Via Valerio 12/1, 34127 Trieste
Italy
Orsola Tommasi
Department of Mathematics
University of Nijmegen
Toernooiveld, 6525 ED Nijmegen
The Netherlands