A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse

Details A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse

2008-02-07

arxiv.org/abs/0802.0959v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

Hesse claimed that an irreducible projective hypersurface in $\PP^n$ defined by an equation with vanishing hessian determinant is necessarily a cone. Gordan and Noether proved that this is true for $n\leq 3$ and constructed counterexamples for every $n\geq 4$. Gordan and Noether and Franchetta gave classification of hypersurfaces in $\PP^4$ with vanishing hessian and which are not cones. Here we translate in geometric terms Gordan and Noether approach, providing direct geometrical proofs of these results.

Affiliated with

Also associated with

No associations

Rating

A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A geometrical approach to Gordan--Noether's and Franchetta's contributions to a question posed by Hesse will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-364653