Non-moishezon Twistor Spaces of 4cp with Non-trivial Automorphism Group
نویسنده
چکیده
We show that a twistor space of a self-dual metric on 4CP with U(1)-isometry is not Moishezon iff there is a C∗-orbit biholomorphic to a smooth elliptic curve, where the C∗-action is the complexification of the U(1)action on the twistor space. It follows that the U(1)-isometry has a two-sphere whose isotropy group is Z2. We also prove the existence of such twistor spaces in a strong form to show that a problem of Campana and Kreußler is affirmative even though a twistor space is required to have a non-trivial automorphism
منابع مشابه
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