Slicing Correspondences with High Degree Hypersurfaces
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915321638551552 |
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| author | Banerjee, Ishan |
| author_facet | Banerjee, Ishan |
| contents | We approximately compute the correspondence degree (as defined by Lazarsfeld and Martin) between two unbalanced complete intersections. This is accomplished by showing that the procedure of taking a subvariety of a product $Y \times Y'$ and intersecting it with $X \times Y'$ (for $X$ a sufficiently ample smooth divisor in $Y$) induces a bijection between two sets of varieties. This may be of independent interest. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_02977 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Slicing Correspondences with High Degree Hypersurfaces Banerjee, Ishan Algebraic Geometry We approximately compute the correspondence degree (as defined by Lazarsfeld and Martin) between two unbalanced complete intersections. This is accomplished by showing that the procedure of taking a subvariety of a product $Y \times Y'$ and intersecting it with $X \times Y'$ (for $X$ a sufficiently ample smooth divisor in $Y$) induces a bijection between two sets of varieties. This may be of independent interest. |
| title | Slicing Correspondences with High Degree Hypersurfaces |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2506.02977 |