One-dimensional schemes

  • Ulrich Görtz
  • Torsten Wedhorn


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.


Irreducible Component Local Ring Valuation Ring Cartier Divisor Discrete Valuation Ring 


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Copyright information

© Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden 2010

Authors and Affiliations

  • Ulrich Görtz
    • 1
  • Torsten Wedhorn
    • 2
  1. 1.Institute of Experimental MathematicsUniversity Duisburg-EssenEssenGermany
  2. 2.University of PaderbornDepartment of MathematicsPaderbornGermany

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