Abstract
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).
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© 2010 Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden
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Görtz, U., Wedhorn, T. (2010). Fiber products. In: Algebraic Geometry I. Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9722-0_5
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DOI: https://doi.org/10.1007/978-3-8348-9722-0_5
Publisher Name: Vieweg+Teubner
Print ISBN: 978-3-8348-0676-5
Online ISBN: 978-3-8348-9722-0
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