Normal Two-dimensional Singularities

Shihoko Ishii
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Shihoko Ishii: The University of Tokyo, Graduate School of Mathematical Sciences

Chapter Chapter 7 in Introduction to Singularities, 2014, pp 119-160 from Springer

Abstract: Abstract In this chapter we consider normal singularities of two-dimensional varieties over ℂ $$\mathbb{C}$$ . A two-dimensional integral algebraic variety is called a surface. A normal singularity on a surface is an isolated singularity and by Corollary 3.5.17 it is a Cohen–Macauley singularity.

Keywords: Normal Singularity; Exceptional Divisor; Fundamental Cycle; Rational Double Points; Elliptic Singularities (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-55081-5_7

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DOI: 10.1007/978-4-431-55081-5_7

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