rav lec: fix formatting
This commit is contained in:
Binary file not shown.
Binary file not shown.
@@ -50,11 +50,13 @@
|
||||
(endowed with the Zariski topology) and, for all $U \subseteq V$ open,
|
||||
\[
|
||||
\mathcal{O}_V(U) \coloneqq
|
||||
\{ f \colon U \to k \mid \forall x \in U \exists U_x \subseteq
|
||||
\text{ open neighbourhood of $x$ and polynomials}
|
||||
P, Q \text{ sucht that } \forall z \in U \cap U_x,
|
||||
\left\{ f \colon U \to k\ \middle \vert
|
||||
\begin{array}{l}
|
||||
\forall x \in U \exists x \in U_x \text{ open},
|
||||
P, Q \in k[x_1, \ldots, x_n] \text{ such that }\\ \text{for } z \in U \cap U_x,
|
||||
Q(z) \neq 0 \text{ and } f(z) = \frac{P(z)}{Q(z)}
|
||||
\}
|
||||
\end{array}
|
||||
\right\}
|
||||
.\]
|
||||
\item $(M, \mathcal{C}^{\infty}_M)$ where
|
||||
$M = \varphi^{-1}(0)$ is a non-singular level set of a $\mathcal{C}^{\infty}$
|
||||
|
||||
Reference in New Issue
Block a user