TROPICALIZATION OF 1-TACNODAL CURVES ON TORIC SURFACES

Takahashi, Takuhiro

doi:info:doi/10.18910/75921

このアイテムのアクセス数:6件（2021-03-05 00:13 集計）

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タイトル	TROPICALIZATION OF 1-TACNODAL CURVES ON TORIC SURFACES
著者	Takahashi, Takuhiro Takahashi, Takuhiro
抄録	A degeneration of a singular curve on a toric surface, called a tropicalization, was constructed by E. Shustin. He classified the degeneration of 1-cuspidal curves using polyhedral complexes called tropical curves. In this paper, we define a tropical version of a 1-tacnodal curve, that is, a curve having exactly one singular point whose topological type is A_3, and by applying the tropicalization method, we classify tropical curves which correspond to 1-tacnodal curves.
公開者	Osaka University and Osaka City University, Departments of Mathematics
掲載誌名	Osaka Journal of Mathematics
巻	57
号	2
開始ページ	451
終了ページ	491
刊行年月	2020-04
ISSN	00306126
NCID	AA00765910
URL	http://hdl.handle.net/11094/75921
言語	英語
DOI	info:doi/10.18910/75921
カテゴリ	紀要論文 Departmental Bulletin Paper
カテゴリ	Osaka Journal of Mathematics / Volume 57, Number 2 （2020-4）

著者版フラグ	publisher
NII資源タイプ	紀要論文
ローカル資源タイプ	紀要論文
dcmi資源タイプ	text
DCTERMS.bibliographicCitation	Osaka Journal of Mathematics.57(2) P.451-P.491
DC.title	TROPICALIZATION OF 1-TACNODAL CURVES ON TORIC SURFACES
DC.creator	Takahashi, Takuhiro
DC.publisher	Osaka University and Osaka City University, Departments of Mathematics
DC.language" scheme="DCTERMS.RFC1766	英語
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2020-04
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/75921
DCTERMS.abstract	A degeneration of a singular curve on a toric surface, called a tropicalization, was constructed by E. Shustin. He classified the degeneration of 1-cuspidal curves using polyhedral complexes called tropical curves. In this paper, we define a tropical version of a 1-tacnodal curve, that is, a curve having exactly one singular point whose topological type is A_3, and by applying the tropicalization method, we classify tropical curves which correspond to 1-tacnodal curves.
DC.identifier	info:doi/10.18910/75921
citation_title	TROPICALIZATION OF 1-TACNODAL CURVES ON TORIC SURFACES
citation_author	Takahashi, Takuhiro
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2020-04
citation_journal_title	Osaka Journal of Mathematics
citation_volume	57
citation_issue	2
citation_firstpage	451
citation_lastpage	491
citation_issn	00306126
citation_public_url	http://hdl.handle.net/11094/75921
citation_doi	info:doi/10.18910/75921

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