论文标题

Hitchin系统的组合分解定理通过Zonotopes

Combinatorial decomposition theorem for Hitchin systems via zonotopes

论文作者

Mauri, Mirko, Migliorini, Luca, Pagaria, Roberto

论文摘要

我们确定了$ \ mathrm {gl} _n $的Hitchin系统的分解定理的汇总,以任意程度,在降低的光谱曲线的位置上。关键成分是图形编律中晶格点计数的模棱两可的公式。

We determine the summands of the decomposition theorem for the Hitchin system for $\mathrm{GL}_n$, in arbitrary degree, over the locus of reduced spectral curves. The key ingredient is an equivariant formula for lattice point counts in graphical zonotopes.

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