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arXiv · 2605.19783

Higher singularities for hypersurfaces

Mircea Mustata·Jakub Witaszek
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Abstract

With an assumption on the codimension of the singular locus of a complex hypersurface $D$ in smooth variety $X$, we show that if $\underline{\Omega}^m_D \cong \Omega^m_D$, then $\underline{\Omega}^i_D \cong \Omega^i_D$ for all $0 \leq i \leq m$. We also discuss an analogue of this statement in positive characteristic.

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Mircea Mustata, Jakub Witaszek. 2026-05-19. Higher singularities for hypersurfaces. https://arxiv.org/abs/2605.19783

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