Higher singularities for hypersurfaces
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866913146337230848 |
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| author | Mustata, Mircea Witaszek, Jakub |
| author_facet | Mustata, Mircea Witaszek, Jakub |
| contents | With an assumption on the codimension of the singular locus of a complex hypersurface $D$ in smooth variety $X$, we show that if $\underlineΩ^m_D \cong Ω^m_D$, then $\underlineΩ^i_D \cong Ω^i_D$ for all $0 \leq i \leq m$. We also discuss an analogue of this statement in positive characteristic. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_19783 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Higher singularities for hypersurfaces Mustata, Mircea Witaszek, Jakub Algebraic Geometry With an assumption on the codimension of the singular locus of a complex hypersurface $D$ in smooth variety $X$, we show that if $\underlineΩ^m_D \cong Ω^m_D$, then $\underlineΩ^i_D \cong Ω^i_D$ for all $0 \leq i \leq m$. We also discuss an analogue of this statement in positive characteristic. |
| title | Higher singularities for hypersurfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2605.19783 |