A NOTE ON SCHWARZIAN DERIVATIVES AND SUGIYAMA-YASUDA LOCALLY EXACT DIFFERENTIALS

Hoshi, Yuichiro

doi:https://doi.org/10.18910/97634

A NOTE ON SCHWARZIAN DERIVATIVES AND SUGIYAMA-YASUDA LOCALLY EXACT DIFFERENTIALS

Hoshi, Yuichiro

Osaka Journal of Mathematics, 2024, 61(3), 313-333

アクセス数:41件（2025-07-03 06:16 集計）

固定URL: https://doi.org/10.18910/97634

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タイトル	A NOTE ON SCHWARZIAN DERIVATIVES AND SUGIYAMA-YASUDA LOCALLY EXACT DIFFERENTIALS
著者	NRID 1000050456761 1000050456761 著者名 Hoshi, Yuichiro
抄録	One main purpose of the present paper is to reorganize, in terms of the notion of a Schwarz system, a proof, by means of Schwarzian derivatives, of the existence of complex projective structures on compact hyperbolic Riemann surfaces and a proof, by means of Sugiyama-Yasuda locally exact differentials, of the existence of Frobenius-projective structures of level two on projective smooth curves in characteristic two. Moreover, we also construct quasi-Schwarz systems for certain Frobenius-affine and Frobenius-projective structures on projective smooth curves in positive characteristic.
出版者	Osaka University and Osaka City University, Departments of Mathematics
収録物名	Osaka Journal of Mathematics
巻(号)	61(3)
ページ	313-333
刊行年月	2024-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/97634
DOI	https://doi.org/10.18910/97634
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 61, Number 3 （2024-07）

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. 2024, 61(3), p. 313-333
DC.title	A NOTE ON SCHWARZIAN DERIVATIVES AND SUGIYAMA-YASUDA LOCALLY EXACT DIFFERENTIALS
DC.creator	Hoshi, Yuichiro
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	2024-07
DCTERMS.abstract	One main purpose of the present paper is to reorganize, in terms of the notion of a Schwarz system, a proof, by means of Schwarzian derivatives, of the existence of complex projective structures on compact hyperbolic Riemann surfaces and a proof, by means of Sugiyama-Yasuda locally exact differentials, of the existence of Frobenius-projective structures of level two on projective smooth curves in characteristic two. Moreover, we also construct quasi-Schwarz systems for certain Frobenius-affine and Frobenius-projective structures on projective smooth curves in positive characteristic.
DC.identifier	10.18910/97634
DC.format	97634
citation_title	A NOTE ON SCHWARZIAN DERIVATIVES AND SUGIYAMA-YASUDA LOCALLY EXACT DIFFERENTIALS
citation_author	Hoshi, Yuichiro
citation_publisher	Osaka University and Osaka City University, Departments of Mathematics
citation_language	英語
citation_date	2024-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	61
citation_issue	3
citation_firstpage	313
citation_lastpage	333
citation_public_url	https://hdl.handle.net/11094/97634
citation_doi_detail	10.18910/97634
citation_doi	https://doi.org/10.18910/97634

A NOTE ON SCHWARZIAN DERIVATIVES AND SUGIYAMA-YASUDA LOCALLY EXACT DIFFERENTIALS

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