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arXiv · 1907.12846

Index of rigidity of differential equations and Euler characteristic of their spectral curves

Kazuki Hiroe
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Abstract

We show a coincidence of index of rigidity of differential equations with irregular singularities on a compact Riemann surface and Euler characteristic of the associated spectral curves which are recently called irregular spectral curves. Also we present a comparison of local invariants, so called Milnor formula which links the Komatsu-Malgrange irregularity of differential equations and Milnor number of the spectral curves.

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Kazuki Hiroe. 2019-07-30. Index of rigidity of differential equations and Euler characteristic of their spectral curves. https://arxiv.org/abs/1907.12846

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