IAS/Park City Mathematics Series
Common Problems, Different Methods
IAS/Park City Mathematics Series
Common Problems, Different Methods
"Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry.
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Based on a series of lectures at the PCMI summer school, this volume gives an introduction to the advanced techniques behind recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented.