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arxiv: 0812.0066 · v2 · submitted 2008-11-29 · 🧮 math.SG · math.AG

Potential functions via toric degenerations

classification 🧮 math.SG math.AG
keywords toricfanopotentialadmittingarxivcentralcompanioncompute
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This is a short companion paper to arXiv:0810.3470. 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 fibers if the central fiber is a toric Fano variety admitting a small resolution.

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  1. Holomorphic disks and GIT quotients

    math.SG 2026-05 unverdicted novelty 7.0

    Establishes correspondence between holomorphic disk moduli spaces for G-invariant Lagrangians and their GIT quotients, yielding a formula for the quotient disk potential via semistable disk potential.