bio | website | www-irma.u-strasbg.fr/… |
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location | Strasbourg | |
age | 37 | |
visits | member for | 3 years, 1 month |
seen | 6 hours ago | |
stats | profile views | 1,655 |
I'm working on complex dynamical systems, more specifically on the local/global aspect of singular holomorphic foliations in the complex plane
Jul 2 |
reviewed | Edit Question about Fermat's Last Theorem |
Jul 2 |
revised |
Question about Fermat's Last Theorem
reformat math with latex |
Jun 26 |
reviewed | Approve A delicate elementary inequality |
Jun 22 |
comment |
Two vector fields are cojugate but not take orbits
Looks like homework to me... |
Jun 20 |
reviewed | Approve Reference request: Intrinsic definition of the strong Whitney topology on $\mathcal{C}^{\infty}(M,\mathbb{R})$ without using charts or jets |
Jun 19 |
comment |
Classification of complex Kronecker foliations
The additive and multiplicative actions are related through the exponential mapping. |
Jun 19 |
comment |
Classification of complex Kronecker foliations
Yes, obviously you're right, the torus is the quotient of $\mathbb C^*$. |
Jun 19 |
comment |
Classification of complex Kronecker foliations
Anyway, the question I understand here is to describe the set of $\theta$ for which the induced foliations are topologically equivalent, right? |
Jun 19 |
comment |
Classification of complex Kronecker foliations
Well… for $n\in\mathbb Z$ you have a diffeomorphism $x\mapsto x\alpha^n$. Similarly the additive $\mathbb Z^2$-action is given by $(n,m)\cdot x=x+n+m\tau$, which corresponds to $\tau=i$ in your example. |
Jun 19 |
comment |
Classification of complex Kronecker foliations
You have a multiplicative action $x\mapsto x\alpha$ for $\alpha\neq 0$, for instance, and the quotient is a torus if $\alpha$ is not real. Anyway, I understood that you were speaking about translation, but there still is an ambiguity, as the action of $\mathbb Z^2$ on $\mathbb C$ usually depends on a complex non-real parameter $\tau$.So I take it that $\tau=i$ here. |
Jun 19 |
reviewed | No Action Needed Determinant of a Certain Positive-Definite Block Matrix |
Jun 19 |
reviewed | Approve Counterexamples to Kollár's conjecture |
Jun 19 |
comment |
Classification of complex Kronecker foliations
Could you please describe what are those "obvious" actions ? I can think of different ones, and don't know which is the one you refer to. |
Jun 19 |
reviewed | Approve Counterexamples to Kollár's conjecture |
Jun 16 |
reviewed | Approve Borel subsets of Polish groups |
Jun 15 |
reviewed | Approve Non meager rectangle |
Jun 13 |
comment |
Under what conditions a linear automorphism is an isometry of some norm?
It seems to me that the phenomenon you describe with the matrix $A$ will repeat itself whenever you have a non-diagonalisable endomorphism (over $\mathbb C$). |
Jun 11 |
revised |
Can every commutative ring of characteristic $p\in\mathbb P$ be written as the form $R/(p)$ with $R$ being a ring of characteristic $0$?
edited title |
Jun 11 |
reviewed | Approve Flatness of a simple ring extension |
Jun 10 |
awarded | Nice Answer |