2011/09/26 by Nobuhiro Honda, Honda, Nobuhiro
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG
paper · pdf · doi:10.48550/arxiv.1109.5427
22 pages, 3 figures. I will not submit this article to any journal, because half of the results are included in another paper "Double solid twistor spaces II: general case"
arxiv created 2011/10/14 · arxiv updated 2011/10/17
We continue to study twistor spaces on the connected sum of four complex projective planes, whose anticanonical map is of degree two over the image. In particular, we determine the defining equation of the branch divisor of the anticanonical map in an explicit form. Together with previous two articles (arXiv:1009.3153 and arXiv:0705.0060), this completes explicit description of all such twistor spaces.