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seen Nov 24 at 18:23

Nov
25
awarded  Self-Learner
Nov
24
asked Proof of Nike's trick: Two affine open subsets contain a simultaneously distinguished open subset
Nov
24
accepted Am I reading Bott - Tu right?
Nov
24
asked Chapter dependency tree for Hartshorne's Algebraic Geometry
Nov
24
accepted Fraction ring contains another implies prime contains another
Nov
1
asked Fraction ring contains another implies prime contains another
Nov
1
accepted Isomorphism of ring localized twice - Atiyah Macdonald Exercise 3.3
Oct
15
asked Isomorphism of ring localized twice - Atiyah Macdonald Exercise 3.3
Oct
15
accepted Restriction of sheaf via inclusion induces isomorphism on stalks
Oct
8
awarded  Popular Question
Sep
19
awarded  Critic
Sep
19
asked Restriction of sheaf via inclusion induces isomorphism on stalks
Sep
5
comment Commuting with kernels implies left exactness in Abelian category
@ZhenLin I appreciate the comment. Corrected.
Sep
5
revised Commuting with kernels implies left exactness in Abelian category
added 10 characters in body
Sep
5
asked Commuting with kernels implies left exactness in Abelian category
Sep
5
comment Completion of quotient of polynomial ring
@RghtHndSd I'm sorry. Perhaps my notation is confusing. Let $A=k[x,y]$, $\mathfrak{m}=(x,y)$. According to that MO question $k[[x,y]]=\widehat{A}\cong\widehat{A_{\mathfrak m}}=\widehat{k[x,y]_{(x,y)}}$. Is this wrong?
Sep
5
accepted Cardinality of variety
Sep
2
comment Completion of quotient of polynomial ring
@RghtHndSd $\hat{A}$ is $\mathfrak{m}$-adic completion and $\hat{A}_{\mathfrak{m}}$ is its localization at $\mathfrak{m}$. Here mathoverflow.net/questions/64399/…
Sep
2
comment Cardinality of variety
+1 Thank you for your answer. I see why $\varphi$ is dominant since $\varphi^*$ is injective. but why is $\varphi(U)$ an open set? The density of $\varphi(U)$ alone isn't sufficient to conclude that $|\mathbb{A}^{1} \setminus \varphi(U)| < \infty$, right?
Aug
25
awarded  Nice Question