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Reducible Veronese surfaces
-
Alberto Alzati
Published/Copyright:
August 10, 2010
Abstract
Here we describe all degree n + 3 non-degenerate surfaces in 
, n ≥ 1, connected in codimension 1, which may be isomorphically projected into 
. There are three of them. One is a suitable union of n + 3 planes (for all n ≥ 1); it was discovered by Floystad. The other two are unions of a smooth quadric and two planes (only for n = 1).
Key words.: Reducible surfaces; projectability
Received: 2008-10-13
Revised: 2009-03-05
Published Online: 2010-08-10
Published in Print: 2010-October
© de Gruyter 2010
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Articles in the same Issue
- A combinatorial approach to Alexander–Hirschowitz's Theorem based on toric degenerations
- Triply periodic minimal surfaces which converge to the Hoffman–Wohlgemuth example
- Total absolute horospherical curvature of submanifolds in hyperbolic space
- The case of equality for an inverse Santaló functional inequality
- Circle configurations in strictly convex normed planes
- Rank four vector bundles without theta divisor over a curve of genus two
- Affine Tallini Sets and Grassmannians
- Geometry of self-dual flats over a PID on a polarity
- Logarithmic comparison theorem versus Gauss–Manin system for isolated singularities
- A kinematic formula for the total absolute curvature of intersections
- Reducible Veronese surfaces
- Effective non-vanishing conjectures for projective threefolds
