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Hailong Dao

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Name Hailong Dao
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I enjoy thinking about questions in commutative algebra which have connections to neighboring fields.
Jun
12
awarded  Popular Question
May
24
awarded  Nice Answer
Apr
30
awarded  Good Answer
Apr
23
comment Minimal primes over a regular sequence
You already asked and got an answer here: math.stackexchange.com/questions/163700/…
Apr
22
comment About regular local rings and Socles
Youngsu, if depth M is $>0$ then the socle is $0$.
Apr
22
comment About regular local rings and Socles
Mohan, I think the question is about an injective resolution. Anyway, voted to close as this is not a real question.
Apr
16
answered When is the module of Kahler volume forms torsion-free?
Apr
16
comment Algebraic machinery for algebraic geometry
This is not heretical at all, that's what most people did (-:
Apr
15
answered Localization sequence for K^0(X)
Mar
27
comment Genus of smooth varieties with small Chow group
Thank you very much, and welcome to Mathoverflow!
Mar
4
comment Higher dimensional Bezout via Hilbert polynomials: a reference.
Dear Sándor, what I did not understand in Claim 1 was that while $Z(f_1,...,f_r)$ is of dimension $n-r$, it may have component of smaller dimensions. Perhaps I was missing something?
Mar
4
comment Higher dimensional Bezout via Hilbert polynomials: a reference.
Dear Sándor, Claim 1: why does any component have same dimension? And Claim 2: for $x$ to be a NZD you need it to be outside all associated primes, not just minimal.
Feb
4
comment Algebraic vector bundles on affine punctured plane
Or, one can quote algebraic Hartog's Lemma plus the fact mentioned above.
Feb
4
comment Algebraic vector bundles on affine punctured plane
Yes, use the Corollary after Theorem 4.1 in Horrocks' paper "Vector bundle on punctured..." plus the fact that any vector bundle on the whole affine plane is trivial.
Jan
31
accepted Factoriality vs $\mathbf{Q}$-factoriality for threefolds hypersurfaces with isolated singularities
Jan
31
comment Factoriality vs $\mathbf{Q}$-factoriality for threefolds hypersurfaces with isolated singularities
Dear Francesco, it looks fine to me. By the way, I forgot a more recent reference by Hartshorne-Polini, front.math.ucdavis.edu/1301.3222.
Jan
31
answered Factoriality vs $\mathbf{Q}$-factoriality for threefolds hypersurfaces with isolated singularities