抄録
We show that for any positive integer τ there exist on 4ℂℙ2, the connected sum of four complex projective planes, twistor spaces whose algebraic dimensions are two. Here, τ appears as the order of the normal bundle of C in S, where S is a real smooth half-anti-canonical divisor on the twistor space and C is a real smooth anti-canonical divisor on S. This completely answers the problem posed by Campana and Kreussler. Our proof is based on the method developed by Honda, which can be regarded as a generalization of the theory of Donaldson and Friedman.
本文言語 | English |
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ページ(範囲) | 323-336 |
ページ数 | 14 |
ジャーナル | Compositio Mathematica |
巻 | 122 |
号 | 3 |
DOI | |
出版ステータス | Published - 2000 7 |
ASJC Scopus subject areas
- Algebra and Number Theory