Geometry of some twistor spaces of algebraic dimension one

It is shown that there exists a twistor space on the n-fold connected sum of complex projective planes nCP2, whose algebraic dimension is one and whose general fiber of the algebraic reduction is birational to an elliptic ruled surface or a K3 surface. The former kind of twistor spaces are construct...

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Bibliographic Details
Main Author: Honda Nobuhiro
Format: Article
Language:English
Published: De Gruyter 2015-09-01
Series:Complex Manifolds
Subjects:
Online Access:http://www.degruyter.com/view/j/coma.2015.2.issue-1/coma-2015-0009/coma-2015-0009.xml?format=INT