Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.20264 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866908782976565248 |
|---|---|
| author | Newman, William C. |
| author_facet | Newman, William C. |
| contents | For $n\leq 4$, we compute the indecomposible higher Chow groups $\overline{\operatorname{CH}}(\mathcal{M}_{1,n},1)$ with integer coefficients. As an application, we give new proofs of presentations of the integral Chow rings $\operatorname{CH}(\overline{\mathcal{M}}_{1,n})$ for $n\leq 4$ and determine formulas for the classes of boundary strata in these rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_20264 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The first higher Chow groups of $\mathcal{M}_{1,n}$ for $n\leq 4$ Newman, William C. Algebraic Geometry For $n\leq 4$, we compute the indecomposible higher Chow groups $\overline{\operatorname{CH}}(\mathcal{M}_{1,n},1)$ with integer coefficients. As an application, we give new proofs of presentations of the integral Chow rings $\operatorname{CH}(\overline{\mathcal{M}}_{1,n})$ for $n\leq 4$ and determine formulas for the classes of boundary strata in these rings. |
| title | The first higher Chow groups of $\mathcal{M}_{1,n}$ for $n\leq 4$ |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2508.20264 |