Potential functions via toric degenerations

Takeo Nishinou; Yuichi Nohara; Kazushi Ueda

doi:10.3792/pjaa.88.31

Potential functions via toric degenerations

Takeo Nishinou, Yuichi Nohara, Kazushi Ueda

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

5 Citations (Scopus)

Abstract

We construct an integrable system on an open subset of a Fano manifold equipped with a toric degeneration, and compute the potential function for its Lagrangian torus fiber if the central fiber is a toric Fano variety admitting a small resolution.

Original language	English
Pages (from-to)	31-33
Number of pages	3
Journal	Proceedings of the Japan Academy Series A: Mathematical Sciences
Volume	88
Issue number	2
DOIs	https://doi.org/10.3792/pjaa.88.31
Publication status	Published - 2012 Feb
Externally published	Yes

Keywords

Lagrangian torus fibration
Potential function
Toric degeneration

ASJC Scopus subject areas

Mathematics(all)

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10.3792/pjaa.88.31

Cite this

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title = "Potential functions via toric degenerations",

abstract = "We construct an integrable system on an open subset of a Fano manifold equipped with a toric degeneration, and compute the potential function for its Lagrangian torus fiber if the central fiber is a toric Fano variety admitting a small resolution.",

keywords = "Lagrangian torus fibration, Potential function, Toric degeneration",

author = "Takeo Nishinou and Yuichi Nohara and Kazushi Ueda",

year = "2012",

month = feb,

doi = "10.3792/pjaa.88.31",

language = "English",

volume = "88",

pages = "31--33",

journal = "Proceedings of the Japan Academy Series A: Mathematical Sciences",

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T1 - Potential functions via toric degenerations

AU - Nishinou, Takeo

AU - Nohara, Yuichi

AU - Ueda, Kazushi

PY - 2012/2

Y1 - 2012/2

N2 - We construct an integrable system on an open subset of a Fano manifold equipped with a toric degeneration, and compute the potential function for its Lagrangian torus fiber if the central fiber is a toric Fano variety admitting a small resolution.

AB - We construct an integrable system on an open subset of a Fano manifold equipped with a toric degeneration, and compute the potential function for its Lagrangian torus fiber if the central fiber is a toric Fano variety admitting a small resolution.

KW - Lagrangian torus fibration

KW - Potential function

KW - Toric degeneration

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DO - 10.3792/pjaa.88.31

M3 - Article

AN - SCOPUS:84857334904

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SP - 31

EP - 33

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

SN - 0386-2194

IS - 2

ER -

Potential functions via toric degenerations

Abstract

Keywords

ASJC Scopus subject areas

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