Timeline for The variety of $\mathbb{C}[t]_{< d}$-points on a variety
Current License: CC BY-SA 4.0
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| Sep 13, 2021 at 22:29 | comment | added | dhy | To rephrase, it sounds like you are considering a moduli space of maps from $\mathbb{A}^1$ to $X$. There are lots of papers studying this for specific $X$. But it's quite hard to make any positive statements for general $X$. If $X$ is smooth then you should be able to write down an expected dimension for $X(d)$, which may or may not match with the actual dimension (and if it does, this will be at best a nontrivial theorem and at worst a conjecture beyond current technology.) Same for irreducibility. | |
| Sep 12, 2021 at 17:59 | history | edited | LSpice | CC BY-SA 4.0 |
Typo
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| Sep 12, 2021 at 17:48 | history | asked | Kevin | CC BY-SA 4.0 |