Jérôme Poineau's user avatar
Jérôme Poineau's user avatar
Jérôme Poineau's user avatar
Jérôme Poineau
  • Member for 14 years, 1 month
  • Last seen this week
29 votes

Rigid analytic spaces vs Berkovich spaces vs Formal schemes

20 votes
Accepted

Berkovich space including both archimedean and non-archimedean worlds

16 votes
Accepted

An unfamiliar (to me) form of Hensel's Lemma

13 votes

Is every Noetherian Commutative Ring a quotient of a Noetherian Domain?

13 votes
Accepted

Open problems in Berkovich geometry

12 votes
Accepted

Reference for rigid analytic GAGA

12 votes

Major mathematical advances past age fifty

10 votes

Which journals publish expository work?

10 votes
Accepted

how to compute the henselization of some simple rings?

10 votes
Accepted

Why do rigid spaces have "not enough points"?

8 votes

For which fields is the inverse Galois problem known?

7 votes

applications of Berkovich spaces

7 votes

Application of sheaves theory in ring theory

7 votes
Accepted

Are maps corresponding to affinoid subdomains flat in the Banach sense?

6 votes
Accepted

Abel-Jacobi map for Mumford curves analytically

6 votes
Accepted

Finite union of affinoid is affinoid in proper smooth rigid curves (unless it is everything)

5 votes
Accepted

Good analytic spaces over a field into locally ringed spaces is fully faithful

5 votes
Accepted

Relations between two definitions of non-archimedean analytic spaces

5 votes

Intuition about $\mathrm{Spec}\mathbb{C}[[t]]$ versus $\mathrm{Spf}\mathbb{C}[[t]]$ versus $\mathrm{Specan}\mathbb{C}[[t]]$ (and similar objects)

5 votes
Accepted

Product of reduced affinoid spaces over a field is reduced (reference request)

5 votes

Minimal degree of polynomial vanishing on the variety of small degree.

5 votes
Accepted

Analytic elements in non-archimedean geometry

5 votes
Accepted

Complete residue field of a point of type 5

4 votes

How should we understand the relative interior in Berkovich spaces

4 votes

Algebraic extensions of p-adic closed fields

4 votes
Accepted

is every point of a Berkovich space a Shilov point?

4 votes

Trivialisation of vector bundles on Stein spaces

3 votes
Accepted

finite number of vertices of the polyhedron of variation of an invertible function on a Berkovich curve

3 votes
Accepted

k-th powers in the field of p-adics

3 votes

Étale homotopy type of non-archimedean analytic spaces