Georges Elencwajg

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Name Georges Elencwajg
Member for 3 years
Seen 21 hours ago
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May
6
awarded  Good Answer
May
6
revised flatness in complex analytic geometry
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May
2
awarded  Enlightened
May
2
comment Reason for studying coherent sheaves on complex manifolds.
Dear @Martin, thanks a lot: my problem was exactly what you described and I have now solved it by following your advice.
May
2
revised Reason for studying coherent sheaves on complex manifolds.
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May
2
revised Reason for studying coherent sheaves on complex manifolds.
added 2 characters in body; deleted 2 characters in body
May
2
comment Reason for studying coherent sheaves on complex manifolds.
Why is my Latex edit not rendered?
May
2
revised Reason for studying coherent sheaves on complex manifolds.
added proof of (ii)
May
2
awarded  Nice Answer
May
2
revised Reason for studying coherent sheaves on complex manifolds.
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May
2
accepted Reason for studying coherent sheaves on complex manifolds.
May
2
answered Reason for studying coherent sheaves on complex manifolds.
May
2
comment Reason for studying coherent sheaves on complex manifolds.
Your "locally finitely presented" should be "locally finitely generated" in lines 2-3.
Apr
28
comment $H^1(X,O_X)$, holomorphic $1$-forms, and $b_1(X)/2$ for normal $X$.
Dear @Donu, I am sad to learn that you have (almost) retired from this site. Why is that and would you consider changing your mind ?
Apr
27
comment Who first cared about singular points?
Thanks a lot for this interesting answer, Rhett.
Apr
21
comment Equivalent definitions of ample bundles
Dear @Francesco, @Laurent and @Serge, the human condition would be less tragic if everybody notationally distinguished between the sheaf stalk $\mathcal E_x$ of a locally free sheaf $\mathcal E$ and the fibre $E(x)=\mathcal E(x)=\mathcal E_x \otimes_{\mathcal O_{X,x}} \mathcal O_{X,x}/\mathfrak m_x$ of the associated vector bundle $E$.
Apr
17
awarded  Good Question
Apr
15
awarded  Popular Question
Apr
13
answered When does the sheaf cohomology of a topological space vanish?
Mar
27
comment The existence of meromorphic functions on Riemann surfaces
Dear Alexandre, you write All Riemann surfaces arising in real life are easily seen to be separable. This is actually always true, also in unreal life, and is a [theorem of Radó](en.wikipedia.org/wiki/…)
Mar
25
awarded  Enlightened
Mar
25
awarded  Nice Answer
Mar
24
comment Existence of non-split vector bundles on smooth projective varieties
You are welcome, Piotr.
Mar
24
accepted Existence of non-split vector bundles on smooth projective varieties
Mar
24
answered Existence of non-split vector bundles on smooth projective varieties
Mar
15
comment cohomological criterion of triviality
Dear @Donu, it seems that the huge numbers $n=m=1$ are sufficient to ensure $n,m\gt\gt 1$ :-)
Mar
7
comment How is Munkres pronounced?
@Todd: he once told me that some people pronounced it as if it rhymed with Liszt...
Feb
26
awarded  Good Answer
Feb
21
comment equivalence of Grothendieck-style versus Cech-style sheaf cohomology
Dear Torsten: of course paracompact implies Hausdorff ! Beware Bourbaki's wrath if you think otherwise:-)
Feb
20
comment Results from Differential Cohomology
As an aside, decabillionaires like [Simons](en.wikipedia.org/wiki/James_Harris_Simons) who have written an article in Annals of Mathematis with a mathematician of the calibre of Chern seem to form a rather select club..
Feb
18
comment How to check if a commutative ring is Gorenstein.
Dear @wccanard, you write "Then where would we be [When Sándor dies]?" Answer: in a much worse world. I study mathematics in order to understand what is going on. Pushing buttons and having an answer spit at me teaches me nothing. Long life to Sándor!
Feb
18
comment How to check if a commutative ring is Gorenstein.
Dear Qlzqlzuup, I really like your handle for its sheer euphony. If only you could get rid of the two pesky vowels it contains...
Feb
16
awarded  Good Answer
Feb
15
awarded  Favorite Question
Feb
15
revised When is the tensor product of two fields a field?
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Feb
15
revised When is the tensor product of two fields a field?
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Feb
15
revised When is the tensor product of two fields a field?
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Feb
15
revised Why is the fundamental group of a compact Riemann surface not free ?
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Jan
31
awarded  Popular Question
Jan
27
awarded  Popular Question
Jan
27
awarded  Nice Answer
Jan
19
awarded  Enlightened
Jan
19
awarded  Nice Answer
Jan
2
awarded  Notable Question
Jan
2
comment Old books still used
@Adam: the title is COMPLEX NUMBERS. What is funny about that?
Dec
22
comment Does a power series converging everywhere on its circle of convergence define a continuous function?
Thanks, George!