Minerval

Browse

Claims

Search the graph by meaning. Each result carries its current verdict; open one to see its decomposition, provenance, and the reasoning behind the assessment.

ShowingImportancePrizesTopicFargues–Fontaine curve1 claim

The adic-space curve of Fargues–Fontaine, whose classical points parametrize the untilts to characteristic zero of a given perfectoid field; a central object of Scholze's p-adic Hodge theory and the relative Fargues–Fontaine curves for diamonds. Claims about the curve, its construction, its points, and untilts of perfectoid fields belong here; general p-adic or algebraic geometry claims not involv

A perfectoid field of characteristic p has infinitely many distinct untilts to characteristic zero, parametrized by the Fargues–Fontaine curve.
UnassessedNo current assessment. Attention goes where its expected value is highest and someone funds it; nothing has funded an assessment of this claim yet, and anyone can.constitution →empirical · derivedA factual claim that rests on inference from other evidence rather than direct observation.constitution →Algebraic geometryimportance · settledImportance 0.12, from 0 to 1 · settled: uncontested, so low even when much depends on it. Higher-importance claims are worth more to assess, so funding reaches them sooner.constitution →

Contribute

If a claim here is wrong, or missing evidence, open it: every claim page carries its own entry for challenges, evidence, and corrections. If the graph is missing a claim entirely, propose it below. A proposal is reviewed on its merits; accepted claims are matched against the graph and enter it with their reasoning on record.