论文标题

热带Lagrangian多部件和热带自由滑轮

Tropical Lagrangian multi-sections and tropical locally free sheaves

论文作者

Suen, Yat-Hin

论文摘要

本文延续了“热带拉格朗日的多部门和在退化的卡拉比野表面上的本地自由滑轮的平滑”。我们将热带拉格朗日多区域的概念推广到任何维度。加上一些线性代数数据,我们构建了一类特殊的本地自由滑轮,称为热带局部自由滑轮。我们还将提供反向构造,并表明热带局部自由滑轮的同构类别与热带拉格朗日多区域之间存在1-1对应关系。

This article is a continuation of the work "Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerated Calabi-Yau surfaces". We generalize the notion of tropical Lagrangian multi-sections to any dimensions. Together with some linear algebra data, we construct a special class of locally free sheaves, called tropical locally free sheaves. We will also provide the reverse construction and show that there is a 1-1 correspondence between isomorphism classes of tropical locally free sheaves and tropical Lagrangian multi-sections modulo certain equivalence.

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