Abstract
Let k be an algebraically closed field. We denote by an k or simply by An the n-dimensional affine space over k. It carries a topology, the Zariski-topology whose closed sets are the sets of zeroes of ideals a of k[x1,...,xn]: V(a) = {(x1,...,xn) ∈ An: f(x1,...,xn) = 0 for all f ∈ a}.
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References
Chevalley, C: Introduction to the therory of algebraic functions of one variable. Math. Surv.,VI, New York, 1951.
Fulton,W.: Plane algebraic curves.W.A.Benjamin,New York,1969
Hartshorne, R.: Algebraic Geometry.Graduate Texts in Math. 52. Springer Verlag, 1977. Ch. I,1–6.
Shafarevich, I.: Basic algebraic geometry. Springer Verlag 1977. Ch. I, Ch. III.
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© 1988 Birkhäuser Verlag, Basel
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van Lint, J.H., van der Geer, G. (1988). Elementary concepts from algebraic geometry. In: Introduction to Coding Theory and Algebraic Geometry. DMV Seminar, vol 12. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9286-5_10
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DOI: https://doi.org/10.1007/978-3-0348-9286-5_10
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-9979-6
Online ISBN: 978-3-0348-9286-5
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