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arXiv · 2602.15427

Fano varieties with split tangent sheaf

Andreas Höring
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Abstract

Let $X$ be a mildly singular Fano variety such that the tangent sheaf is a direct sum. We show that the direct factors are algebraically integrable, so the infinitesimal decomposition induces a product structure on a quasi-\'etale cover of $X$.

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Andreas Höring. 2026-02-17. Fano varieties with split tangent sheaf. https://arxiv.org/abs/2602.15427

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