Jet Spaces and Arc Spaces
نویسنده
چکیده
Before getting into details, I would like to recall the p-adic inspiration for this theory. Here is a list of things we looked at in Chapter III. (1) Polynomials f ∈ Z[X1, . . . , Xn] and their solutions over Z/pZ ' Zp/pZp, where p is a fixed prime and m ≥ 0. Such a solution can be written as x1 = a10 + a11p+ . . .+ a1mp m , . . . , xn = an0 + an1p+ . . .+ anmp m with ai ∈ {0, . . . , p− 1}. (2) Solutions of f over Zp = lim ←− m Z/pZ.
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