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February 2012 Potential functions via toric degenerations
Takeo Nishinou, Yuichi Nohara, Kazushi Ueda
Proc. Japan Acad. Ser. A Math. Sci. 88(2): 31-33 (February 2012). DOI: 10.3792/pjaa.88.31

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.

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Takeo Nishinou. Yuichi Nohara. Kazushi Ueda. "Potential functions via toric degenerations." Proc. Japan Acad. Ser. A Math. Sci. 88 (2) 31 - 33, February 2012. https://doi.org/10.3792/pjaa.88.31

Information

Published: February 2012
First available in Project Euclid: 2 February 2012

zbMATH: 1239.53103
MathSciNet: MR2879356
Digital Object Identifier: 10.3792/pjaa.88.31

Subjects:
Primary: 53D12
Secondary: 53D40

Keywords: Lagrangian torus fibration , potential function , Toric Degeneration

Rights: Copyright © 2012 The Japan Academy

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Vol.88 • No. 2 • February 2012
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