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Titlebook: Introduction to Singularities; Shihoko Ishii Textbook 2018Latest edition Springer Japan KK, part of Springer Nature 2018 Canonical divisor

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a large extent is expressed through language and of the view in linguistics that language is a system of cultural behaviors (Hymes, 1974; Geertz, 1973; Hymes, 1968). Hymes argued that the study of language must concern itself with describing and analyzing the ability of the native speakers to use l
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Definition of a Singularity, Resolutions of Singularities,nalytic space can be regarded as a singularity on an algebraic variety. We also introduce Hironaka’s theorem stating that every algebraic variety over a field of characteristic zero has a resolution of the singularities. In this book our interest is focused on singularities. To this end, we study th
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