query: Is there a scheme $X$ , $f \in \Gamma(X;\mathcal{O}_X)$ s.t. $\Gamma(X;\mathcal{O}_X)_f \to \Gamma(X_f ;\mathcal{O}_{X_f} )$ is not an equality?
positive_passages.docid: 144858
positive_passages.text: Example of quasi-compact, non-quasi seperated scheme where qcqs fails?
negative_passages.docid: 89533
negative_passages.text: $\mathcal{K}(L^2(\mathbb{R}^m \times \mathbb{R}^n)) = \mathcal{K}(L^2(\mathbb{R}^m)) \otimes \mathcal{K}(L^2(\mathbb{R}^n))$?
negative_passages.docid: 120960
negative_passages.text: $f,g$ such that $\int fg = \int f \int g$
negative_passages.docid: 135694
negative_passages.text: Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
negative_passages.docid: 109054
negative_passages.text: Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
negative_passages.docid: 57055
negative_passages.text: Are $|X|$ and $\operatorname{sgn}(X)$ independent?
negative_passages.docid: 157426
negative_passages.text: Proving that:$\int_X f_n g \, d\mu \to \int_X fg \, d\mu$ for all $g$ in $\mathscr{L}^q (X)$
negative_passages.docid: 62504
negative_passages.text: Is there any known relationship between $\sum_{i=1}^{n} f(i)$ and $\sum_{i=1}^{n} \dfrac {1}{f(i)}$
negative_passages.docid: 22758
negative_passages.text: If $\operatorname{ran} F \subseteq \operatorname{dom} G$, then $\operatorname{dom}(G \circ F) = \operatorname{dom} F$.
negative_passages.docid: 146480
negative_passages.text: Example of $\deg(fg)<\deg(f)+\deg(g)$
negative_passages.docid: 101778
negative_passages.text: Show that there is $\eta\in(0,1)$ with $f''(\eta)=f(\eta)$
negative_passages.docid: 37308
negative_passages.text: Let $f:K\to K$ with $\|f(x)-f(y)\|\geq ||x-y||$ for all $x,y$. Show that equality holds and that $f$ is surjective.
negative_passages.docid: 16550
negative_passages.text: Is $ d(X) \le s(X)? $
negative_passages.docid: 158327
negative_passages.text: #define f(g,g2) g##g2
negative_passages.docid: 28145
negative_passages.text: What is $\Gamma(z) \Gamma(\bar {z})$?
negative_passages.docid: 68786
negative_passages.text: "This property is local on" : properties of morphisms of $S$-schemes
negative_passages.docid: 43956
negative_passages.text: Differentiating $f(x)^{g(x)}$