dorsal/arxiv
View SchemaThe Chow Ring of the Hilbert Cube
| Authors | Ian Selvaggi |
|---|---|
| Categories | |
| ArXiv ID | 2601.08399vv1 |
| URL | https://arxiv.org/abs/2601.08399 |
| License | http://creativecommons.org/licenses/by-nc-sa/4.0/ |
Abstract
Given a smooth projective variety $X$ over a field $k$, we compute the Chow ring of the Hilbert scheme of three points on $X$, $\operatorname{Hilb}^3(X)$, as an algebra with generators and relations over the Chow ring of $X\times\operatorname{Sym}^2(X)$. If in addition the characteristic of $k$ is zero, we extend the computation to the quasi-projective case.
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"abstract": "Given a smooth projective variety $X$ over a field $k$, we compute the Chow ring of the Hilbert scheme of three points on $X$, $\\operatorname{Hilb}^3(X)$, as an algebra with generators and relations over the Chow ring of $X\\times\\operatorname{Sym}^2(X)$. If in addition the characteristic of $k$ is zero, we extend the computation to the quasi-projective case.",
"arxiv_id": "2601.08399",
"authors": [
"Ian Selvaggi"
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"license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
"title": "The Chow Ring of the Hilbert Cube",
"url": "https://arxiv.org/abs/2601.08399",
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