Einstein-Weyl spaces and (1 , n) -curves in the quadric surface |
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Authors: | Henrik Pedersen |
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Institution: | (1) Dept. of Mathematics, Uniersity of Odense, Camusvej 55, 5230 Odense M., Denmark |
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Abstract: | Following the ideas of Hitchin on the twistoral approach to 3-dimensional Einstein-Weyl geometry we construct a series of complex surfaces containing rational curves with self-intersection number 2. These mini twistor spaces are obtained by taking an n-fold covering of a neighbourhood of a (1 , n)- curve in the quadric CP1 x CP1 branched along the curve. We describe the corresponding Einstein-Weyl geometry on the parameter space of curves. |
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