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Sep
4
revised integral curves and differential equations on arcs
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Sep
3
revised integral curves and differential equations on arcs
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Sep
3
revised integral curves and differential equations on arcs
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Sep
3
revised integral curves and differential equations on arcs
added 14 characters in body
Sep
2
revised integral curves and differential equations on arcs
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Sep
2
revised integral curves and differential equations on arcs
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Sep
2
asked integral curves and differential equations on arcs
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?