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

Usui, Sampei

doi:info:doi/10.1017/CBO9781316387887.007

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論文情報

タイトル	Studies of closed/open mirror symmetry for quintic threefolds through log mixed Hodge theory
著者	Usui, Sampei 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.
公開者	Cambridge University Press
掲載誌名	Recent advances in Hodge theory : period domains, algebraic cycles, and arithmetic
開始ページ	134
終了ページ	164
刊行年月	2016
ISBN	9781107546295
NCID	BB20688545
DOI	info:doi/10.1017/CBO9781316387887.007
URL	http://hdl.handle.net/11094/73378
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.
言語	英語
カテゴリ	単行書 Book

著者版フラグ	publisher
NII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 P.134-P.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
DCTERMS.issued" scheme="DCTERMS.W3CDTF	2016
DC.identifier	info:doi/10.1017/CBO9781316387887.007
DC.identifier" scheme="DCTERMS.URI	http://hdl.handle.net/11094/73378
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.
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	info:doi/10.1017/CBO9781316387887.007
citation_public_url	http://hdl.handle.net/11094/73378

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