6966db6478
Some checks failed
Sync from Gitea (main→main, keep workflow) / mirror (push) Has been cancelled
11 lines
387 B
Markdown
11 lines
387 B
Markdown
# Math 401, Fall 2025: Thesis notes, S6, Algebraic Geometry
|
|
|
|
## Affine algebraic variety
|
|
|
|
The affine algebraic variety is the common zero set of a collection $\{F_i\}_{i\in I}$ of complex polynomials on complex n-space $\mathbb{C}^n$. We write
|
|
|
|
$$
|
|
V=\mathbb{V}(\{F_i\}_{i\in I})=\{z\in \mathbb{C}^n\vert F_i(z)=0\text{ for all } i\in I\}
|
|
$$
|
|
|
|
Note that $I$ may not be countable or finite. |