Inter-universal geometry と ABC予想 (応援スレ) 45at MATH
Inter-universal geometry と ABC予想 (応援スレ) 45
- 暇つぶし2ch30:geometry, an etale morphism (French: [etal]) is a morphism of schemes that is formally etale and locally of finite presentation. This is an algebraic analogue of the notion of a local isomorphism in the complex analytic topology. They satisfy the hypotheses of the implicit function theorem, but because open sets in the Zariski topology are so large, they are not necessarily local isomorphisms. Despite this, etale maps retain many of the properties of local analytic isomorphisms, and are useful in defining the algebraic fundamental group and the etale topology. The word etale is a French adjective, which means "slack", as in "slack tide", or, figuratively, calm, immobile, something left to settle.[1] Contents 1 Definition 2 Examples 3 Properties 4 Inverse function theorem
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