Threefolds of P^5 with one apparent quadruple point

Details Threefolds of P^5 with one apparent quadruple point Threefolds of P^5 with one apparent quadruple point

2002-07-12

arxiv.org/abs/math/0207104v1

Mathematics

Algebraic Geometry

AMS-LaTeX2e, 14 pages

Scientific paper

In this article we classify all the smooth threefolds of P^5 with an apparent
quadruple point provided that the family of its 4-secant lines is an
irreducible (first order) congruence. This is sufficient to conclude the
classification of all the smooth codimension two varieties of P^n with one
apparent (n-1)-point and with irreducible family of (n-1)-secant lines.

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