Proceedings of the Japan Academy, Series A, Mathematical Sciences

Potential functions via toric degenerations

Takeo Nishinou, Yuichi Nohara, and Kazushi Ueda

Full-text: Open access

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.

Article information

Source
Proc. Japan Acad. Ser. A Math. Sci., Volume 88, Number 2 (2012), 31-33.

Dates
First available in Project Euclid: 2 February 2012

Permanent link to this document
https://projecteuclid.org/euclid.pja/1328192002

Digital Object Identifier
doi:10.3792/pjaa.88.31

Mathematical Reviews number (MathSciNet)
MR2879356

Zentralblatt MATH identifier
1239.53103

Subjects
Primary: 53D12: Lagrangian submanifolds; Maslov index
Secondary: 53D40: Floer homology and cohomology, symplectic aspects

Keywords
Toric degeneration Lagrangian torus fibration potential function

Citation

Nishinou, Takeo; Nohara, Yuichi; Ueda, Kazushi. Potential functions via toric degenerations. Proc. Japan Acad. Ser. A Math. Sci. 88 (2012), no. 2, 31--33. doi:10.3792/pjaa.88.31. https://projecteuclid.org/euclid.pja/1328192002


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References

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