Complex Varieties and the Analytic Topology
نویسنده
چکیده
Classical algebraic geometers studied algebraic varieties over the complex numbers. In this setting, they didn’t have to worry about the Zariski topology and its many pathologies, because they already had a better-behaved topology to work with: the analytic topology inherited from the usual topology on the complex numbers themselves. In this note, we introduce the analytic topology, and explore some of its basic properties. We also investigate how it interacts with properties of varieties which we have already defined.
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