Fiber products

  • Ulrich Görtz
  • Torsten Wedhorn


In this chapter we study one of the central technical tools of algebraic geometry: If S is a scheme and X and Y are S-schemes we define the product X × S Y of X and Y over S which is also called fiber product. We do this by defining X × S Y as an S-scheme which satisfies a certain universal property (and by proving that such a scheme always exists).


Base Change Open Covering Group Scheme Fiber Product Closed Subscheme 
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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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