Low-dimensional quadratic relative character varieties for the projective line minus three points

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发表日期：

2024年10月25日

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Carlos Simpson

摘要

We show that relative character varieties having a fixed dimension d > 0, for irreducible orthogonal or symplectic local systems of rank r on \({\mathbb{P}}^1-\{0,\ 1, \ \infty\}\) , are isomorphic via Katz’s middle convolution to ones with a bound on the rank r ⩽ R(d).