Hodge–tate conditions for landau–Ginzburg models

Yota Shamoto

doi:10.4171/prims/54-3-2

Hodge–tate conditions for landau–Ginzburg models

Yota Shamoto^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

We give a sufficient condition for a class of tame compactified Landau–Ginzburg models in the sense of Katzarkov–Kontsevich–Pantev to satisfy some versions of their conjectures. We also give examples that satisfy the condition. The relations to the quantum D-modules of Fano manifolds and the original conjectures are explained in the appendices.

Original language	English
Pages (from-to)	469-515
Number of pages	47
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	54
Issue number	3
DOIs	https://doi.org/10.4171/prims/54-3-2
Publication status	Published - 2018
Externally published	Yes

Keywords

Hodge theory
Mirror symmetry

ASJC Scopus subject areas

Mathematics(all)

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10.4171/prims/54-3-2

Cite this

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abstract = "We give a sufficient condition for a class of tame compactified Landau–Ginzburg models in the sense of Katzarkov–Kontsevich–Pantev to satisfy some versions of their conjectures. We also give examples that satisfy the condition. The relations to the quantum D-modules of Fano manifolds and the original conjectures are explained in the appendices.",

keywords = "Hodge theory, Mirror symmetry",

author = "Yota Shamoto",

note = "Funding Information: The author was supported by Grant-in-Aid for JSPS Research Fellow number 16J02453 and the Kyoto Top Global University Project (KTGU). Publisher Copyright: {\textcopyright} 2018 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.",

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doi = "10.4171/prims/54-3-2",

language = "English",

volume = "54",

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journal = "Publications of the Research Institute for Mathematical Sciences",

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T1 - Hodge–tate conditions for landau–Ginzburg models

AU - Shamoto, Yota

N1 - Funding Information: The author was supported by Grant-in-Aid for JSPS Research Fellow number 16J02453 and the Kyoto Top Global University Project (KTGU). Publisher Copyright: © 2018 Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.

PY - 2018

Y1 - 2018

N2 - We give a sufficient condition for a class of tame compactified Landau–Ginzburg models in the sense of Katzarkov–Kontsevich–Pantev to satisfy some versions of their conjectures. We also give examples that satisfy the condition. The relations to the quantum D-modules of Fano manifolds and the original conjectures are explained in the appendices.

AB - We give a sufficient condition for a class of tame compactified Landau–Ginzburg models in the sense of Katzarkov–Kontsevich–Pantev to satisfy some versions of their conjectures. We also give examples that satisfy the condition. The relations to the quantum D-modules of Fano manifolds and the original conjectures are explained in the appendices.

KW - Hodge theory

KW - Mirror symmetry

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DO - 10.4171/prims/54-3-2

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JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

IS - 3

ER -

Hodge–tate conditions for landau–Ginzburg models

Abstract

Keywords

ASJC Scopus subject areas

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