In this chapter we will apply the results obtained so far to noetherian schemes of dimension one. Arbitrary one-dimensional noetherian schemes will be called absolute curves. Examples for absolute curves are rings of integers in number fields (i.e., finite extensions of ℚ) or schemes of finite type over a field k of pure dimension one. The latter we will call curves over k.
KeywordsIrreducible Component Local Ring Valuation Ring Cartier Divisor Discrete Valuation Ring
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