Algebraic dimension of twistor spaces whose fundamental system is a pencil
| Autor: | Honda, Nobuhiro, Kreussler, Bernd |
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| Rok vydání: | 2015 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/jlms.12043 |
| Popis: | We show that the algebraic dimension of a twistor space over n#CP^2 cannot be two if n>4 and the fundamental system (i.e. the linear system associated to the half-anti-canonical bundle, which is available on any twistor space) is a pencil. This means that if the algebraic dimension of a twistor space on n#CP^2, n>4, is two, then the fundamental system either is empty or consists of a single member. The existence problem for a twistor space on n#CP^2 with algebraic dimension two is open for n>4. Comment: 22 pages, 1 figure. v2: update the introduction, revised the paragraph right after Theorem 3.6, revised the proof of Theorem 3.6 |
| Databáze: | arXiv |
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