Products of boundary classes on M_0,n-bar via balanced weights
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2023
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910507065147392 |
|---|---|
| author | Gillespie, Maria Levinson, Jake |
| author_facet | Gillespie, Maria Levinson, Jake |
| contents | In this note, we give a simple closed formula for an arbitrary product, landing in dimension 0, of boundary classes on the Deligne--Mumford moduli space M_0,n-bar. For any such boundary strata $X_{T_1}, \ldots, X_{T_\ell}$, we show the intersection product $\int \prod_{i=1}^\ell [X_{T_i}]$ is either a signed product of multinomial coefficients, or zero, and provide a simple criterion for determining when it is nonzero.
We do not claim originality for our product formula, but to our knowledge it does not appear elsewhere in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_09557 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Products of boundary classes on M_0,n-bar via balanced weights Gillespie, Maria Levinson, Jake Algebraic Geometry Combinatorics 14H10, 14N10, 05A10, 05C05 In this note, we give a simple closed formula for an arbitrary product, landing in dimension 0, of boundary classes on the Deligne--Mumford moduli space M_0,n-bar. For any such boundary strata $X_{T_1}, \ldots, X_{T_\ell}$, we show the intersection product $\int \prod_{i=1}^\ell [X_{T_i}]$ is either a signed product of multinomial coefficients, or zero, and provide a simple criterion for determining when it is nonzero. We do not claim originality for our product formula, but to our knowledge it does not appear elsewhere in the literature. |
| title | Products of boundary classes on M_0,n-bar via balanced weights |
| topic | Algebraic Geometry Combinatorics 14H10, 14N10, 05A10, 05C05 |
| url | https://arxiv.org/abs/2311.09557 |