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Title
Japanese: 
English:Some examples of twistor spaces of algebraic dimension one 
Author
Japanese: 本多宣博.  
English: Nobuhiro Honda.  
Language English 
Journal/Book name
Japanese: 
English: 
Volume, Number, Page        
Published date May 2015 
Publisher
Japanese: 
English: 
Conference name
Japanese: 
English:Irish Geometry Conference 2015 
Conference site
Japanese: 
English:Limerick 
Official URL http://www.maths.mic.ul.ie/igc15/
 
Abstract It has been known that twistor spaces provide nice examples of compact complex 3-fold whose algebraic dimension takes all values from zero to three. Most compact twistor spaces are of algebraic dimension zero, and also a lot of examples are already known of twistor spaces of algebraic dimension three. Also, twistor spaces of K3 surfaces, complex tori (and also some Hopf surfaces) form a good class of twistor spaces whose algebraic dimension is one. In this talk, I will present twistor spaces of algebraic dimension one with a different flavor; namely I will present a series of simply connected twistor spaces of algebraic dimension one whose general fiber of the algebraic reduction is birational to an elliptic ruled surface. In these examples, a pair of Hopf surfaces are contained as a reducible fiber of the algebraic reduction.

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