On numerically effective log canonical divisors
Let (X,Δ) be a 4-dimensional log variety which is proper over the field of complex numbers and with only divisorial log terminal singularities. The log canonical divisor KX+Δ is semiample, if it is numerically effective (NEF) and the Iitaka dimension κ(X,KX+Δ) is strictly positive. For the proof, we...
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| Format: | Article |
| Language: | English |
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Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202012450 |
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| _version_ | 1832551012043325440 |
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| author | Shigetaka Fukuda |
| author_facet | Shigetaka Fukuda |
| author_sort | Shigetaka Fukuda |
| collection | DOAJ |
| description | Let (X,Δ) be a 4-dimensional log variety which is proper over the field of complex numbers and with only divisorial log terminal singularities. The log canonical divisor KX+Δ is semiample, if it is numerically effective (NEF) and the Iitaka dimension κ(X,KX+Δ) is strictly positive. For the proof, we use Fujino's abundance theorem for semi-log canonical threefolds. |
| format | Article |
| id | doaj-art-df7c1b5a76c440b3836dd9f345b8be80 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2002-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-df7c1b5a76c440b3836dd9f345b8be802025-02-03T06:05:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252002-01-0130952153110.1155/S0161171202012450On numerically effective log canonical divisorsShigetaka Fukuda0Faculty of Education, Gifu Shotoku Gakuen University, Yanaizu-Cho, Gifu 501-6194, JapanLet (X,Δ) be a 4-dimensional log variety which is proper over the field of complex numbers and with only divisorial log terminal singularities. The log canonical divisor KX+Δ is semiample, if it is numerically effective (NEF) and the Iitaka dimension κ(X,KX+Δ) is strictly positive. For the proof, we use Fujino's abundance theorem for semi-log canonical threefolds.http://dx.doi.org/10.1155/S0161171202012450 |
| spellingShingle | Shigetaka Fukuda On numerically effective log canonical divisors International Journal of Mathematics and Mathematical Sciences |
| title | On numerically effective log canonical divisors |
| title_full | On numerically effective log canonical divisors |
| title_fullStr | On numerically effective log canonical divisors |
| title_full_unstemmed | On numerically effective log canonical divisors |
| title_short | On numerically effective log canonical divisors |
| title_sort | on numerically effective log canonical divisors |
| url | http://dx.doi.org/10.1155/S0161171202012450 |
| work_keys_str_mv | AT shigetakafukuda onnumericallyeffectivelogcanonicaldivisors |