Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory

Name: Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory
ISBN: 9781107546295

Usui, Sampei

doi:https://doi.org/10.1017/CBO9781316387887.007

アクセス数:126件（2024-05-07 01:47 集計）

固定URL: https://hdl.handle.net/11094/73378

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タイトル	Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory
著者	NRID 1000090117002 1000090117002 著者名 Usui, Sampei
内容	London Mathematical Society lecture note series, 427
抄録	We correct the definitions and descriptions of the integral structures in [30]. The previous flat basis in [ibid] is characterized by the Frobenius solutions and is integral in the first approximation by mean of the graded quotients of monodromy filtration, but it is not integral in the strict sense. In this article, we use Γ-integral structure of lritani in [7] for A-model. Using this precise version, we study open mirror symmetry for quintic threefolds through log mixed Hodge theory, especially the recent result on Néron models for admissible normal functions with non-torsion extensions in the joint work [14] with K. Kato and C. Nakayama. We understand asymptotic conditions as values in the fiber over a base point on the boundary of S^log.
出版者	Cambridge University Press
収録物名	Recent advances in Hodge theory : period domains, algebraic cycles, and arithmetic
ページ	134-164
刊行年月	2016
言語	英語
ハンドルURL	https://hdl.handle.net/11094/73378
関連情報 (isIdenticalTo)	ISBN 9781107546295
	DOI (出版社版) https://doi.org/10.1017/CBO9781316387887.007
	NCID BB20688545
アクセス権	open access
権利情報	@Cambridge University Press 2016. This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press.
出版タイプ	Version of Record
カテゴリ	単行書 Book

資源タイプ	図書
ローカル資源タイプ	単行書
DCMI資源タイプ	text
DCTERMS.bibliographicCitation	Recent advances in Hodge theory : period domains, algebraic cycles, and arithmetic. 2016, p. 134-164
DC.title	Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory
DC.creator	Usui, Sampei
DC.publisher	Cambridge University Press
DC.language' scheme='DCTERMS.RFC1766	英語
DC.type' scheme='DCTERMS.DCMIType	text
DCTERMS.issued' scheme='DCTERMS.W3CDTF	2016
DC.identifier	https://doi.org/10.1017/CBO9781316387887.007
DC.description	London Mathematical Society lecture note series, 427
DCTERMS.abstract	We correct the definitions and descriptions of the integral structures in [30]. The previous flat basis in [ibid] is characterized by the Frobenius solutions and is integral in the first approximation by mean of the graded quotients of monodromy filtration, but it is not integral in the strict sense. In this article, we use Γ-integral structure of lritani in [7] for A-model. Using this precise version, we study open mirror symmetry for quintic threefolds through log mixed Hodge theory, especially the recent result on Néron models for admissible normal functions with non-torsion extensions in the joint work [14] with K. Kato and C. Nakayama. We understand asymptotic conditions as values in the fiber over a base point on the boundary of S^log.
DC.rights	@Cambridge University Press 2016. This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press.
DC.format	application/pdf
citation_title	Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory
citation_author	Usui, Sampei
citation_publisher	Cambridge University Press
citation_language	英語
citation_date	2016
citation_journal_title	Recent advances in Hodge theory : period domains, algebraic cycles, and arithmetic
citation_firstpage	134
citation_lastpage	164
citation_doi	https://doi.org/10.1017/CBO9781316387887.007
citation_public_url	https://hdl.handle.net/11094/73378

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