Is the canonical morphism of sheaves $f^{-1}f_*\mathcal F\to \mathcal F$ an isomorphism?
97669
Sheafs and closed immersion
25260
Extension of a morphism $k^*\rightarrow X$ to $\mathbb{P}^1\rightarrow \overline{X}$
72103
Failure of isomorphisms on stalks to arise from an isomorphism of sheaves
28324
Inverse image of the sheaf associated to a module
41505
Transcendental Extensions. $F(\alpha)$ isomorphic to $F(x)$
25050
To prove that $(F,+)$ and $(F-\{0\},\cdot)$ are not isomorphic as groups.
140503
What properties do natural isomorphisms between functors preserve?
78118
Algebraically, why is $\mathbb{Z}[i]/(i + 1)$ isomorphic to $\mathbb{Z}_{2}$?
98587
$\mathbb Z [X] / (X)$ isomorphic to $\mathbb Z[X] / (X+1)$ isomorphic to $\mathbb Z [X] / (X+2015)$
45179
When does the isomorphism $G\simeq \ker(\phi)\times \operatorname{im}(\phi)$? hold?
53432
What is the algebraic closure of $\mathbb F_q$?
152212
Prove that the natural map $\alpha : \text{Hom}(X,\text{Spec} A) \rightarrow \text{Hom}(A,\Gamma(X,\mathcal{O}_X))$ is an isomorphism
70658
Isomorphism between quotient modules
102284
$GL(n,\mathbb R)/SL(n,\mathbb R)$ is isomophic to $\mathbb R^\times$
59995
Isomorphism between $\mathbb{C}^* $ under multiplication with $\mathbb{C}$ under addition.
26110
Canonical isomorphism between $\mathfrak{so}(3)$ and $\mathbb R^3$ with vector cross product
101473
Tensor product of a sheaf of module and a residue field