Abstract
In the current chapter, we will define the notion of scheme. In a sense, the remainder of this book is devoted to the study of schemes, so this notion is fundamental for all which follows. Schemes arise by “gluing affine schemes”, similarly as prevarieties are obtained by gluing affine varieties. Therefore after the preparations in the previous chapter, the definition is very simple, see (3.1). As for varieties we define projective space (3.6) by gluing copies of affine spaces. This is an example of a scheme which is not affine.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2010 Vieweg+Teubner Verlag | Springer Fachmedien Wiesbaden
About this chapter
Cite this chapter
Görtz, U., Wedhorn, T. (2010). Schemes. In: Algebraic Geometry I. Vieweg+Teubner. https://doi.org/10.1007/978-3-8348-9722-0_4
Download citation
DOI: https://doi.org/10.1007/978-3-8348-9722-0_4
Publisher Name: Vieweg+Teubner
Print ISBN: 978-3-8348-0676-5
Online ISBN: 978-3-8348-9722-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)