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Apr
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Apr
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Mar
25
accepted Tube of a mod p point on a smooth Z_(p)-scheme
Mar
25
comment Tube of a mod p point on a smooth Z_(p)-scheme
That's more or less what I meant.
Mar
24
comment Tube of a mod p point on a smooth Z_(p)-scheme
Sorry this question is so basic, but what is the precise relationship between completions and deformations of points?
Mar
23
awarded  Necromancer
Mar
22
comment Tube of a mod p point on a smooth Z_(p)-scheme
I'm also wondering if there's an easy way to see how this fits into the formalism of deformation theory.
Mar
22
comment Tube of a mod p point on a smooth Z_(p)-scheme
Thanks, your first paragraph is precisely what I needed. Do you have a reference for this version of Hensel's lemma? I have not seen such a thing mentioned.
Mar
22
asked Tube of a mod p point on a smooth Z_(p)-scheme
Mar
13
awarded  Popular Question
Mar
11
comment What is modern algebraic topology(homotopy theory) about?
I would comment that this is very related to the question of "What is modern algebraic geometry?" One could then give an answer in the spirit of this one, saying that it is the study of the category of schemes.
Mar
11
asked Classify $K(\pi,n)$ that are manifolds
Mar
11
comment Derived Algebraic Geometry and Chow Rings/Chow Motives
I would hope that one could construct a spectrum whose pi_0 gives Chow groups, and whose higher homotopy information gives higher Chow groups.
Mar
3
asked Motivic Interpretation of Rationally Trivial Cycles
Mar
3
comment Motivic derived algebraic geometry
In that vein, motivic algebra geometry is already used, but not quite in the vein you're thinking of. When people talk about the unipotent motivic fundamental group, that's doing algebraic geometry in the Tannakian category of motives. So this would be doing algebraic geometry in the stable infinity-category of motivic spectra.
Mar
3
comment Motivic derived algebraic geometry
I would second Will Sawin's comment, and note that one could also think of profinite spectra with a Galois action and some sort of geometricity condition (like in the Fontaine-Mazur conjecture).
Dec
31
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