New Examples of Minitwistor Spaces and Their Moduli Space
نویسنده
چکیده
In a recent paper [4] we obtained explicit examples of twistor spaces that are associated to a compact self-dual four-manifold admitting a Killing field, and also determined their moduli space. In this note we investigate minitwistor spaces associated to these twistor spaces. We determine their structures, minitwistor lines and also their moduli space. In particular, we show that the moduli space is identified with the moduli space of smooth elliptic curves defined over the real numbers.
منابع مشابه
Examples of Compact Minitwistor Spaces and Their Moduli Space
In a paper [5] we obtained explicit examples of Moishezon twistor spaces of some compact self-dual four-manifolds admitting a non-trivial Killing field, and also determined their moduli space. In this note we investigate minitwistor spaces associated to these twistor spaces. We determine their structure, minitwistor lines and also their moduli space, by using a double covering structure of the ...
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