TORUS-EQUIVARIANTLY EMBEDDED TORIC MANIFOLDS ASSOCIATED TO AFFINE SUBSPACES

Yamaguchi, Kentaro

doi:https://doi.org/10.18910/102436

TORUS-EQUIVARIANTLY EMBEDDED TORIC MANIFOLDS ASSOCIATED TO AFFINE SUBSPACES

Yamaguchi, Kentaro

Osaka Journal of Mathematics, 2025, 62(3), 477-505

アクセス数:45件（2026-02-11 02:33 集計）

固定URL: https://doi.org/10.18910/102436

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タイトル	TORUS-EQUIVARIANTLY EMBEDDED TORIC MANIFOLDS ASSOCIATED TO AFFINE SUBSPACES
著者	著者名 Yamaguchi, Kentaro
抄録	We study the closure of a complex subtorus in a toric manifold. If the closure of the complex subtorus is a smooth complex submanifold in the toric manifold, then the subtorus action on such submanifold is Hamiltonian. In this case, we may think of the embedding of the submanifold as torus-equivariant. We show that the image of the moment map for the Hamiltonian subtorus action on our submanifold coincides with the image of the Delzant polytope of the ambient toric manifold under the pullback of the inclusion of the tori. The submanifolds constructed in the present paper are called torus-equivariantly embedded toric manifolds with respect to the subtorus action.
出版者	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
収録物名	Osaka Journal of Mathematics
巻(号)	62(3)
ページ	477-505
刊行年月	2025-07
言語	英語
ハンドルURL	https://hdl.handle.net/11094/102436
DOI	https://doi.org/10.18910/102436
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 62, Number 3 （2025-07）

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. 2025, 62(3), p. 477-505
DC.title	TORUS-EQUIVARIANTLY EMBEDDED TORIC MANIFOLDS ASSOCIATED TO AFFINE SUBSPACES
DC.creator	Yamaguchi, Kentaro
DC.publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2025-07
DCTERMS.abstract	We study the closure of a complex subtorus in a toric manifold. If the closure of the complex subtorus is a smooth complex submanifold in the toric manifold, then the subtorus action on such submanifold is Hamiltonian. In this case, we may think of the embedding of the submanifold as torus-equivariant. We show that the image of the moment map for the Hamiltonian subtorus action on our submanifold coincides with the image of the Delzant polytope of the ambient toric manifold under the pullback of the inclusion of the tori. The submanifolds constructed in the present paper are called torus-equivariantly embedded toric manifolds with respect to the subtorus action.
DC.identifier	10.18910/102436
DC.format	102436
citation_title	TORUS-EQUIVARIANTLY EMBEDDED TORIC MANIFOLDS ASSOCIATED TO AFFINE SUBSPACES
citation_author	Yamaguchi, Kentaro
citation_publisher	Departments of Mathematics, The University of Osaka and Osaka Metropolitan University
citation_language	英語
citation_date	2025-07
citation_journal_title	Osaka Journal of Mathematics
citation_volume	62
citation_issue	3
citation_firstpage	477
citation_lastpage	505
citation_public_url	https://hdl.handle.net/11094/102436
citation_doi_detail	10.18910/102436
citation_doi	https://doi.org/10.18910/102436

TORUS-EQUIVARIANTLY EMBEDDED TORIC MANIFOLDS ASSOCIATED TO AFFINE SUBSPACES

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