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What is Hilbert Schemes of Points on Surfaces about?

This document is the preface to a set of lecture notes on Hilbert schemes of points on surfaces. The lectures were given in 1996 at the University of Tokyo and discuss various properties of Hilbert schemes, including their relationships to topology, hyper-Kähler geometry, symplectic geometry, singularities, and representation theory. The notes are intended for graduate students and assume basic knowledge of algebraic geometry and topology. Each chapter roughly corresponds to one lecture and covers different

Author

kaluzaklein

Language

EN