Complex varieties of general type whose canonical systems are composed with pencils
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- CHEN Meng
- Department of Applied Mathematics Tongji University
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Abstract
This paper aims to study a variety of general type whose canonical system is composed with a pencil. This kind of variety admits a natural fibration onto a nonsingular curve. A natural problem is whether the geometric genus of the general fiber of this fibration is bounded. A simple classification is given in this paper. When the object is a nonsingular minimal 3-fold of general type, if the canonical system is composed of an irrational pencil, then the geometric genus of the general fibre is bounded. If the canonical system is composed of a rational pencil, it seems that the geometric genus of the general fibre is not bounded though no counter examples have been found.
Journal
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 51 (2), 331-335, 1999
The Mathematical Society of Japan
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Keywords
Details 詳細情報について
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- CRID
- 1390001205116088960
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- NII Article ID
- 10002151620
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- NII Book ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- MRID
- 1674752
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- NDL BIB ID
- 4712148
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- Text Lang
- en
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
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- Abstract License Flag
- Disallowed