Moduli spaces of quadratic complexes and their singular surfaces

Details Moduli spaces of quadratic complexes and their singular surfaces Moduli spaces of quadratic complexes and their singular surfaces

2007-07-17

arxiv.org/abs/0707.2440v1

Mathematics

Algebraic Geometry

22 pages

Scientific paper

We construct the coarse moduli space $\cM_{qc}(\sigma)$ of quadratic line complexes with a fixed Segre symbol $\sigma$ as well as the moduli space $\cM_{ss}(\sigma)$ of the corresponding singular surfaces. We show that the map associating to a quadratic line complex its singular surface induces a morphism $\pi: \cM_{qc}(\sigma) \ra \cM_{ss}(\sigma)$. Finally we deduce that the varieties of cosingular quadratic line complexes are almost always curves.

Affiliated with

Also associated with

No associations

Rating

Moduli spaces of quadratic complexes and their singular surfaces 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 Moduli spaces of quadratic complexes and their singular surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Moduli spaces of quadratic complexes and their singular surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-562351