On the topology of arrangements of a cubic and its inflectional tangents
書誌事項
- 公開日
- 2017-06
- 資源種別
- journal article
- DOI
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- 10.3792/pjaa.93.50
- 10.48550/arxiv.1607.07618
- 公開者
- Tokyo : Japan Academy
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説明
A $k$-Artal arrangement is a reducible algebraic curve composed of a smooth cubic and $k$ inflectional tangents. By studying the topological properties of their subarrangements, we prove that for $k=3,4,5,6$, there exist Zariski pairs of $k$-Artal arrangements. These Zariki pairs can be distinguished in a geometric way by the number of collinear triples in the set of singular points contained in the cubic.
6 pages
収録刊行物
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- Proceedings of the Japan Academy. Series. A, Mathematical sciences / issued by 日本学士院
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Proceedings of the Japan Academy. Series. A, Mathematical sciences / issued by 日本学士院 93 (6), 50-53, 2017-06
Tokyo : Japan Academy
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詳細情報 詳細情報について
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- CRID
- 1521699229763384064
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- NII論文ID
- 40021247473
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- NII書誌ID
- AA00785474
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- ISSN
- 03862194
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- NDL書誌ID
- 028343089
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- 本文言語コード
- en
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- 資料種別
- journal article
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- NDL 雑誌分類
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- ZM31(科学技術--数学)
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- データソース種別
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