Abstract
Algebraic geometry is geometry. This sounds like a tautology, but it will be easy to forget once we start learning about sheaves, cohomology, Hodge structures, and so on. So perhaps it is a good idea to keep ourselves grounded by taking a very quick tour of the classical theory of complex algebraic curves in the plane, using only primitive, and occasionally nonrigorous, tools. This will hopefully provide a better sense of where the subject comes from and where we want to go. Once we have laid the proper foundations in later chapters, we will revisit these topics and supply some of the missing details.
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© 2012 Springer Science+Business Media, LLC
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Arapura, D. (2012). Plane Curves. In: Algebraic Geometry over the Complex Numbers. Universitext. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1809-2_1
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DOI: https://doi.org/10.1007/978-1-4614-1809-2_1
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Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-1808-5
Online ISBN: 978-1-4614-1809-2
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