Potential functions via toric degenerations

Potential functions via toric degenerations

Takeo Nishinou, Yuichi Nohara, and Kazushi Ueda

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

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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Primary Subjects: 53D12

Secondary Subjects: 53D40

Keywords: Toric degeneration; Lagrangian torus fibration; potential function

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1328192002
Digital Object Identifier: doi:10.3792/pjaa.88.31
Zentralblatt MATH identifier: 06031436

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