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Some remarks on varieties with degenerate Gauss image

Algebraic Geometry 2007-05-23 v1 Differential Geometry

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.

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Cite

@article{arxiv.math/0304127,
  title  = {Some remarks on varieties with degenerate Gauss image},
  author = {Emilia Mezzetti and Orsola Tommasi},
  journal= {arXiv preprint arXiv:math/0304127},
  year   = {2007}
}

Comments

9 pages, to be published in Pacific Journal of Mathematics

R2 v1 2026-07-22T16:53:22.571Z