论文标题

HMS对称性和高几何系统

HMS symmetries and hypergeometric systems

论文作者

Špenko, Špela

论文摘要

代数品种的派生类别可能是无数新(分类)对称性的来源。有些由同源镜子对称性预测,可从其镜面伴侣复杂结构的基本组中获得。这些最终导致微分方程。我们揭露了该类型的一类品种的猜想总体计划的一部分。

The derived category of an algebraic variety might be a source of a myriad of new (categorical) symmetries. Some are predicted by homological mirror symmetry, to be obtained from the fundamental group of the space of complex structures of its mirror partner. These finally lead to differential equations. We expositorily unravel a part of this conjectural master plan for a class of toric varieties.

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