We describe all degree n+3 non degenerate surfaces in P^(n+4), n≥1, connected in codimension 1, which may be isomorphically projected into P^4. There are three of them. One is a suitable union of n+3 planes (for all n≥1); it was discovered by Floystad. The otheer two are unions of a smooth quadric and two planes (only for n=1).
Reducible Veronese surfaces / A. Alzati, E. Ballico. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - 10:4(2010), pp. 719-735. [10.1515/ADVGEOM.2010.036]
Reducible Veronese surfaces
A. AlzatiPrimo
;
2010
Abstract
We describe all degree n+3 non degenerate surfaces in P^(n+4), n≥1, connected in codimension 1, which may be isomorphically projected into P^4. There are three of them. One is a suitable union of n+3 planes (for all n≥1); it was discovered by Floystad. The otheer two are unions of a smooth quadric and two planes (only for n=1).
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[16157168 - Advances in Geometry] Reducible Veronese surfaces.pdf
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