Bounding Projective Hypersurface Singularities
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909088441434112 |
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| author | Castor, B. |
| author_facet | Castor, B. |
| contents | We compare several different methods involving Hodge-theoretic spectra of singularities which produce constraints on the number and type of isolated singularities on projective hypersurfaces of fixed degree. In particular, we introduce a method based on the spectrum of the nonisolated singularity at the origin of the affine cone on such a hypersurface, and relate the resulting explicit formula to Varchenko's bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_12574 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Bounding Projective Hypersurface Singularities Castor, B. Algebraic Geometry We compare several different methods involving Hodge-theoretic spectra of singularities which produce constraints on the number and type of isolated singularities on projective hypersurfaces of fixed degree. In particular, we introduce a method based on the spectrum of the nonisolated singularity at the origin of the affine cone on such a hypersurface, and relate the resulting explicit formula to Varchenko's bound. |
| title | Bounding Projective Hypersurface Singularities |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2110.12574 |