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arXiv · 2312.17604

Large volume limit fibrations over fanifolds

Hayato Morimura
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Abstract

We lift the stratified torus fibration over a fanifold constructed by Gammage--Shende to the associated Weinstein manifold-with-boundary, which is homotopic to a filtered stratified integrable system with noncompact fibers. When the fanifold admits a dual stratified space in a suitable sense, we give a stratified fibration over it completing SYZ picture. For the fanifold associated with a very affine hypersurface, we realize the latter fibration as a restriction of SYZ fibrations over the tropical hypersurface proposed by Abouzaid--Auroux--Katzarkov.

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Hayato Morimura. 2023-12-29. Large volume limit fibrations over fanifolds. https://arxiv.org/abs/2312.17604

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