1,105 reputation
614
bio website
location
age
visits member for 4 years, 9 months
seen 4 hours ago

Jul
6
accepted is every point of a Berkovich space a Shilov point?
Jul
4
comment is every point of a Berkovich space a Shilov point?
oh, yes, you are right of course
Jul
4
comment is every point of a Berkovich space a Shilov point?
> This is still not true, but you have to consider subtler things like points of type 4. > if the point is Abhyankar Am I right that after restricting to the Zariski closure of $x$ and extending the scalars so that the base field is maximally complete, one may assume that $x$ is Abhyankar?
Jul
4
revised is every point of a Berkovich space a Shilov point?
added 71 characters in body
Jul
3
revised is every point of a Berkovich space a Shilov point?
added 1 character in body; added 7 characters in body
Jul
3
asked is every point of a Berkovich space a Shilov point?
Jul
2
awarded  Inquisitive
Jul
2
awarded  Curious
Jun
11
accepted group structure on (subsets of) tropicalizations of Abelian varieties
Jun
6
comment group structure on (subsets of) tropicalizations of Abelian varieties
so when one takes $K^\times$ and apply valuation to its factor by $q$, is it possible to somehow relate the quotient to the image of the valuation map composed with some embedding of the quotient elliptic curve (or rather an open subset thereof) into $\mathbb{G}_m^2$, say?
Jun
6
comment group structure on (subsets of) tropicalizations of Abelian varieties
Thanks for this detailed answer! You have mentioned that as $K^\times$ tropicalises to $\mathbb R$, the quotient tropicalizes to $\mathbb{R}/\mathbb{Z}\mathrm{log}|q|$. What do you mean by "tropicalizes" here? I encountered the following usage of this word: embed into into a torus, then apply valuation map, but it looks like here the map is something else?
Jun
6
asked group structure on (subsets of) tropicalizations of Abelian varieties
Mar
26
accepted composition of Puiseux series?
Mar
26
revised composition of Puiseux series?
added 257 characters in body
Mar
26
asked composition of Puiseux series?
Mar
26
accepted Is there an algorithm to compute efficiently the dessin d'enfant from a Belyi pair?
Feb
18
revised base points of multiplicity $>1$
added 12 characters in body
Feb
17
comment base points of multiplicity $>1$
Sasha, it is the projectivisation of the relative tangent bundle, i.e. projectivisation the fibrewise kernel of the map induced on the tangent bundles of $X$ and $T$ by the projection $X \to T$. The map $X \to S$ induces a map from the relative tangent bundle to the tangent bundle $TX/T$ of $S$, hence induces a map on projectivisations, this is $\sigma$. And yes, $\mathbb{P}(TX/T)$ is isomorphic to $X$.
Feb
15
accepted existence and uniqueness of solutions for ODEs in formal power series?
Feb
13
revised existence and uniqueness of solutions for ODEs in formal power series?
edited tags