Differential Forms Around a Singularity

Shihoko Ishii ()
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Shihoko Ishii: The University of Tokyo

Chapter Chapter 6 in Introduction to Singularities, 2018, pp 99-117 from Springer

Abstract: Abstract In this chapter, we study the singularity by looking at the poles of the pull-back of differential forms around the singularity onto the resolved space. By this consideration, plurigenera of isolated singularities are defined and the order of growth of the plurigenera gives a rough classification of isolated singularities. Here, a variety is always integral and defined over the complex number field $$\mathbb {C}$$ .

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-4-431-56837-7_6

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DOI: 10.1007/978-4-431-56837-7_6

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