図書

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Recent advances in Hodge theory : period domains, algebraic cycles, and arithmetic. 2016, p. 134-164

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

Usui, Sampei

Cambridge University Press

英語

text

2016

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

London Mathematical Society lecture note series, 427

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.

@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.

73378

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

Usui, Sampei

Cambridge University Press

英語

2016

Recent advances in Hodge theory : period domains, algebraic cycles, and arithmetic

134

164

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

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