[PDF.40yx] Lectures on Hilbert Schemes of Points on Surfaces (University Lecture Series)
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Lectures on Hilbert Schemes of Points on Surfaces (University Lecture Series)
Hiraku Nakajima
[PDF.lm35] Lectures on Hilbert Schemes of Points on Surfaces (University Lecture Series)
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| #1724316 in Books | American Mathematical Society | 1999-09-17 | Original language:English | PDF # 1 | 9.75 x7.00 x.50l,.60 | File type: PDF | 132 pages | ||From the Publisher|"This beautifully written book deals with one shining example: the Hilbert schemes of points on algebraic surfaces ... The topics are carefully and tastefully chosen ... The young person will profit from reading this book." |-- Mathematical
The Hilbert scheme $X^{[n]}$ of a surface $X$ describes collections of $n$ (not necessarily distinct) points on $X$. More precisely, it is the moduli space for $0$-dimensional subschemes of $X$ of length $n$. Recently it was realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory-even theoretical physics. The discussion in the book refl...
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