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

SCI - Mathematics

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

4 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

Keywords

Lagrangian torus fibration
Potential function
Toric degeneration

ASJC Scopus subject areas

Mathematics(all)

Access to Document

10.3792/pjaa.88.31

Fingerprint Dive into the research topics of 'Potential functions via toric degenerations'. Together they form a unique fingerprint.

Cite this

@article{84b49ae66ecf491b8057870ed9235cc1,

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",

issn = "0386-2194",

publisher = "Japan Academy",

number = "2",

}

TY - JOUR

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

UR - http://www.scopus.com/inward/record.url?scp=84857334904&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84857334904&partnerID=8YFLogxK

U2 - 10.3792/pjaa.88.31

DO - 10.3792/pjaa.88.31

M3 - Article

AN - SCOPUS:84857334904

VL - 88

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

Access to Document

Other files and links

Cite this