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arXiv · 1109.5425

Double solid twistor spaces II: general case

Nobuhiro Honda
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Abstract

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.

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Nobuhiro Honda. 2011-10-14. Double solid twistor spaces II: general case. https://arxiv.org/abs/1109.5425

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