
Some examples of twistor spaces of algebraic dimension oneSome examples of twistor spaces of algebraic dimension one Some examples of twistor spaces of algebraic dimension one 
"/本多, 宣博/"本多, 宣博 ,
"/Honda, Nobuhiro/"Honda, Nobuhiro
Description
It has been known that twistor spaces provide nice examples of compact complex 3fold 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.