Grassmann defectivity à la Terracini

Details Grassmann defectivity à la Terracini Grassmann defectivity à la Terracini

2001-12-14

arxiv.org/abs/math/0112149v1

Mathematics

Algebraic Geometry

9 pages, amslatex, to appear on "Le Matematiche"

Scientific paper

This work is a modern revisitation of a classical paper by Alessandro
Terracini, going back to 1915, which suggests an elementary but powerful method
for studing Grassmann defective varieties. In particular, the case of Veronese
surfaces is completely understood, giving an positive answer to the so-called
Waring problem for pairs of homogeneous polynomials in three variables.

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