Equi-dimensionalization via subdivision of simplices
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910661944016896 |
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| author | Kai, Wataru |
| author_facet | Kai, Wataru |
| contents | We give an alternative proof of Suslin's equi-dimensionalization moving lemma using a different geometric construction. The new construction provides better control of the degrees of the polynomials describing the geometric procedure.
The new degree bound can be used to improve an earlier result of Hiroyasu Miyazaki and the present author on algebraic cycles with modulus: the isomorphism in question is now valid for any fixed divisor, without the need to take the limit over thickenings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_03062 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Equi-dimensionalization via subdivision of simplices Kai, Wataru Algebraic Geometry K-Theory and Homology 14C25 (Primary), 14C15, 14F42, 19E15 (Secondary) We give an alternative proof of Suslin's equi-dimensionalization moving lemma using a different geometric construction. The new construction provides better control of the degrees of the polynomials describing the geometric procedure. The new degree bound can be used to improve an earlier result of Hiroyasu Miyazaki and the present author on algebraic cycles with modulus: the isomorphism in question is now valid for any fixed divisor, without the need to take the limit over thickenings. |
| title | Equi-dimensionalization via subdivision of simplices |
| topic | Algebraic Geometry K-Theory and Homology 14C25 (Primary), 14C15, 14F42, 19E15 (Secondary) |
| url | https://arxiv.org/abs/2403.03062 |