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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2312.17728 |
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| _version_ | 1866910283774033920 |
|---|---|
| author | Zhang, Yilong |
| author_facet | Zhang, Yilong |
| contents | Consider a one-parameter family of smooth projective varieties X_t which degenerate into a simple normal crossing divisor at t=0. What is the dual variety in the limit? We answer this question for a hypersurface of degree d degenerate to the union of two hypersurfaces of degree d_1 and d-d_1 meeting transversely. We find all the irreducible components of the dual variety in the limit and their multiplicities. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_17728 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Degeneration of Dual Varieties of Hypersurfaces Zhang, Yilong Algebraic Geometry 14D06, 14J70 Consider a one-parameter family of smooth projective varieties X_t which degenerate into a simple normal crossing divisor at t=0. What is the dual variety in the limit? We answer this question for a hypersurface of degree d degenerate to the union of two hypersurfaces of degree d_1 and d-d_1 meeting transversely. We find all the irreducible components of the dual variety in the limit and their multiplicities. |
| title | Degeneration of Dual Varieties of Hypersurfaces |
| topic | Algebraic Geometry 14D06, 14J70 |
| url | https://arxiv.org/abs/2312.17728 |