Olivier

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Name Olivier
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May
13
revised Is a complete intersection satisfying Jacobian matrix smooth criterion a smooth variety?
Fixed the title
May
3
awarded  Good Answer
Apr
29
comment the topology of power series ring
I'm sure an answer can be very quickly found at math.stackexchange.com
Apr
18
revised Applications of Govorov-Lazard Theorem?
edited body
Apr
17
answered Applications of Govorov-Lazard Theorem?
Mar
15
comment Automorphism group of regular graph
@Chris Godsil Frucht's original construction does not produce regular graphs but the first regular construction is also due to Frucht as far as I know (Graphs of degree three with a given abstract group 1949) so might reasonably be called Frucht's theorem as well. Do you disagree?
Mar
15
answered Automorphism group of regular graph
Feb
27
answered Should one attack hard problems?
Feb
27
revised Mathematical habits of thought and action which would be of use to non-mathematicians
added 3 characters in body
Feb
27
revised Elliptic curves over QQ with isomorphic n-torsion
Replaced status quo (the existing state of affairs) by status (the position of affairs at a particular time).
Feb
26
accepted unramified base change in characteristic p > 0?
Feb
25
revised unramified base change in characteristic p > 0?
deleted 69 characters in body
Feb
25
answered unramified base change in characteristic p > 0?
Feb
24
comment unramified base change in characteristic p > 0?
Doesn't that follow from the proof of the local Langlands correspondence for function fields (by Laumon, Rappoport and Stuhler)?
Feb
20
comment Grothendieck monodromy theorem for l-adic sheaves
This question looks very interesting to me, but there are a few things I don't quite understand. Are you looking at the $G_{F}$ action the étale cohomology of $X$ with coefficients in $C$? Would you give an example of the typical situation you have in mind?
Feb
14
revised Definition of CM modular form
added 119 characters in body
Feb
14
comment Definition of CM modular form
Dear wccanard (!), I did write that $k$ should be greater than 2, but now I realize I did not repeat the condition when passing to $F$. Thanks for pointing this out.
Feb
13
comment Definition of CM modular form
Let me add a reference. You can read Motives and automorphic forms: the potentially abelian case, available on L.Fargues webpage. This is a modern exploration of the topic (which contains much much more than the answer to your question).
Feb
13
answered Definition of CM modular form
Feb
8
comment Which finite group is not the automorphism group of some rooted finite trees
I think this indeed a theorem of Jordan.
Feb
6
comment Periods for 2-variable p-adic L-functions
Of course, the freeness over the localized Hecke algebra is much easier to prove (the real freeness being false under suitable hypotheses) and this is why Greenberg/Stevens type results require much weaker hypotheses.
Feb
6
comment Periods for 2-variable p-adic L-functions
Dear Joël, The point is that different hypotheses will yield different conclusions about the nature of $c$. Does $c$ vary analytically or not on $U$ for instance? You are right to say that $A(x)$ is a necessary condition, but as usual, the devil is in the details. You say that $A(x)$ means that the space of modular symbols is free on the Hecke algebra, but which Hecke algebra? If it is the Hecke algebra localized at $x$, then you get Greenberg/Stevens, Mok style results. If it is the Hecke algebra before localization, then you get Kitagawa style results (type (1) and (2) of my answer).
Feb
6
comment Periods for 2-variable p-adic L-functions
@Filipo: I don't think there is a subscript $\chi$ in (2). There is a subscript $x$ as there should be. @Joël: Kitagawa-Mazur give type (2) results, maybe not in Kitagawa's and Mazur's work, but in subsequent works.
Feb
6
answered Periods for 2-variable p-adic L-functions
Jan
17
comment Hamiltonian cycles in power-graphs
Dear Gerhard, Can you explain why you think this implication is reasonable? I don't see it myself (but I don't know much about the topic). Moreover, the data in the linked note show that there exists values of $n$ such that G2(n+2) has less hamiltonian cycles than G2(n).
Dec
19
comment On topology of p-adic numbers.
Both Wikipedia and Google know the answer to this (very elementary) question. If you don't find it there or by yourself, you should try math.stackexchange.com
Dec
18
comment Generalized Euler sequence on a projective scheme
I don't want to put so much spam in my thesis, and would like to cite this result, which probably has been proven in the 60s Giving appropriate credit is nice and important of course. Then again, a thesis seems to me to be a good place to write up things that are supposedly well-known to the experts but for which a good reference is lacking.
Dec
3
awarded  Yearling