Twistor Spaces with Meromorphic Functions
- 1 February 1991
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 111 (2) , 331-338
- https://doi.org/10.2307/2048321
Abstract
Among the class of Kähler surfaces with zero scalar curvature, only the twistor space of those surfaces which are also Ricci-flat can admit nonconstant meromorphic functions. Moreover, the transcendental degree of the function field of the twistor space over such surfaces is equal to one. This result leads to a classification of twistor spaces with positive algebraic dimensions.Keywords
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