Dimension is the first and most natural invariant of an algebraic variety. We will finally be able to talk about varieties of dimension 0 (points), 1 (curves) and 2 (surfaces)… We will give a very natural topological definition of dimension, which is not always easy to work with, followed by other definitions which are easier to work with but which depend on results from algebra.
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© 2008 Springer-Verlag London Limited
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(2008). Dimension. In: Algebraic Geometry. Universitext. Springer, London. https://doi.org/10.1007/978-1-84800-056-8_4
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DOI: https://doi.org/10.1007/978-1-84800-056-8_4
Publisher Name: Springer, London
Print ISBN: 978-1-84800-055-1
Online ISBN: 978-1-84800-056-8
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