TROPICALIZATION OF 1-TACNODAL CURVES ON TORIC SURFACES

Takahashi, Takuhiro

Osaka Journal of Mathematics, 2020, 57(2), 451-491

アクセス数:133件（2025-07-13 17:07 集計）

固定URL: https://doi.org/10.18910/75921

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タイトル	TROPICALIZATION OF 1-TACNODAL CURVES ON TORIC SURFACES
著者	著者名 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.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	57(2)
ページ	451-491
刊行年月	2020-04
言語	英語
ハンドルURL	https://hdl.handle.net/11094/75921
DOI	https://doi.org/10.18910/75921
PISSN	00306126
NCID	AA00765910
アクセス権	open access
出版タイプ	Version of Record
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）

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. 2020, 57(2), p. 451-491
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
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2020-04
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	10.18910/75921
DC.format	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_public_url	https://hdl.handle.net/11094/75921
citation_doi_detail	10.18910/75921
citation_doi	https://doi.org/10.18910/75921