On the hypersurface of Luroth quartics

Details On the hypersurface of Luroth quartics On the hypersurface of Luroth quartics

2009-03-30

arxiv.org/abs/0903.5149v2

Mathematics

Algebraic Geometry

Final version to appear in Michigan Math. Journal. The last section of v1 has been removed and expanded in the paper "On singu

Scientific paper

The hypersurface of Luroth quartic curves inside the projective space of plane quartics has degree 54. We give a proof of this fact along the lines outlined in a paper by Morley, published in 1919. Another proof has been given by Le Potier and Tikhomirov in 2001, in the setting of moduli spaces of vector bundles on the projective plane. Morley's proof uses the description of plane quartics as branch curves of Geiser involutions and gives new geometrical interpretations of the 36 planes associated to the Cremona hexahedral representations of a nonsingular cubic surface.

Affiliated with

Also associated with

No associations

Rating

On the hypersurface of Luroth quartics 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 On the hypersurface of Luroth quartics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the hypersurface of Luroth quartics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-424581