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One-dimensional schemes

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Abstract

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.

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© 2010 Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden

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Görtz, U., Wedhorn, T. (2010). One-dimensional schemes. In: Algebraic Geometry I. Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9722-0_16

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