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On the quadratic normality and the triple curve of three-dimensional subvarieties of
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Pietro De Poi
Published/Copyright:
February 8, 2010
Abstract
A well-known conjecture asserts that smooth threefolds 
are quadratically normal with the only exception of the Palatini scroll. As a corollary of a more general statement we obtain the following result, which is related to the previous conjecture: If is not quadratically normal, then its triple curve is reducible. Similar results are also given for higher dimensional varieties.
Received: 2008-02-12
Published Online: 2010-02-08
Published in Print: 2010-July
© de Gruyter 2010
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Articles in the same Issue
- On the characteristic direction of real hypersurfaces in and a symmetry result
- Small maximal partial spreads in classical finite polar spaces
- On antipodes on a convex polyhedron II
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- A generalization of the Giulietti–Korchmáros maximal curve
- Busemann Functions and the Julia–Wolff–Carathéodory Theorem for polydiscs
- Generalized polygons with non-discrete valuation defined by two-dimensional affine ℝ-buildings
- Measures on the space of convex bodies
- On the scalar curvature of hypersurfaces in spaces with a Killing field
- The real quadrangle of type E6
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- On surfaces with pg = 2q – 3
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