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Discrete valuation ring
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==== Henselian trait ==== For a DVR <math>R</math> it is common to write the fraction field as <math>K = \text{Frac}(R)</math> and <math>\kappa = R/\mathfrak{m}</math> the [[residue field]]. These correspond to the [[Generic point|generic]] and closed points of <math>S=\text{Spec}(R).</math> For example, the closed point of <math>\text{Spec}(\mathbb{Z}_p)</math> is <math>\mathbb{F}_p</math> and the generic point is <math>\mathbb{Q}_p</math>. Sometimes this is denoted as :<math> \eta \to S \leftarrow s </math> where <math>\eta</math> is the generic point and <math>s</math> is the closed point <!-- https://math.stackexchange.com/questions/2321214/grothendiecks-vanishing-cycles (as in SGA) -->.
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