Glossary of scheme theory

This is a glossary of scheme theory. For an introduction to the theory of schemes in algebraic geometry, see affine scheme, projective space, sheaf and scheme. The concern here is to list the fundamental technical definitions and properties of scheme theory.
See also list of algebraic geometry topics and glossary of classical algebraic geometry and glossary of commutative algebra and glossary of stack theory
A-E

affine
1.  Affine space is roughly a vector space where one has forgotten which point is the origin
2.  An affine variety is a variety in affine space
3.  A morphism is called affine if the preimage of any open affine subset is again affine. In more fancy terms, affine morphisms are defined by the global Spec construction for sheaves of OX
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