Double solid twistor spaces II: general case

Details Double solid twistor spaces II: general case Double solid twistor spaces II: general case

2011-09-26

arxiv.org/abs/1109.5425v2

Mathematics

Differential Geometry

37 pages, 3 figures V2:added an explanation concerning some global property on the moduli space

Scientific paper

In this paper we investigate Moishezon twistor spaces which have a structure of double covering over a very simple rational threefold. These spaces can be regarded as a direct generalization of the twistor spaces studied by Poon and Kreussler-Kurke to the case of arbitrary signature. In particular, the branch divisor of the double covering is a cut of the rational threefold by a single quartic hypersurface. A defining equation of the hypersurface is determined in an explicit form. We also show that these twistor spaces interpolate LeBrun twistor spaces and the twistor spaces constructed in math.DG/0701278.

Affiliated with

Also associated with

No associations

Rating

Double solid twistor spaces II: general case 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 Double solid twistor spaces II: general case, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Double solid twistor spaces II: general case will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-685514