On blow-ups of the quintic del Pezzo 3-fold and varieties of power sums of quartic hypersurfaces

Details On blow-ups of the quintic del Pezzo 3-fold and varieties of power sums of quartic hypersurfaces On blow-ups of the quintic del Pezzo 3-fold and varieties of power sums of quartic hypersurfaces

2009-04-23

arxiv.org/abs/0904.3586v1

Mathematics

Algebraic Geometry

This is the first part of the division of the paper arXiv:0801.1760. This is the basic part of our method

Scientific paper

We construct new subvarieties in the varieties of power sums for certain quartic hypersurfaces. This provides a generalization of Mukai's description of smooth prime Fano threefolds of genus twelve as the varieties of power sums for plane quartics. In fact, in our second paper, we show that these quartics are exactly the Scorza quartics associated to general pairs of trigonal curves and ineffective theta characteristics and this enables us to prove there the main cojecture of Dolgachev and Kanev.

Affiliated with

Also associated with

No associations

Rating

On blow-ups of the quintic del Pezzo 3-fold and varieties of power sums of quartic hypersurfaces 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 blow-ups of the quintic del Pezzo 3-fold and varieties of power sums of quartic hypersurfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On blow-ups of the quintic del Pezzo 3-fold and varieties of power sums of quartic hypersurfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-408513