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Introduction to Singularities pp 99–117Cite as

Differential Forms Around a Singularity

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Abstract

In this chapter we introduce divisors, divisorial sheaves and an equivalence relation of divisors. We also introduce canonical divisors and the canonical sheaf. Later on, we will compare the canonical sheaf of the neighborhood of a singular point and the canonical sheaf of the resolution variety, and by this we will measure the complexity of the singularity.

An attractive conjecture cannot be proved. A big theorem’s proof is wrong. If the proof is correct, the statement is trivial.

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Authors and Affiliations

  1. Graduate School of Mathematical Sciences, The University of Tokyo, Tokyo, Japan

    Shihoko Ishii (Professor)

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  1. Shihoko Ishii
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Ishii, S. (2014). Differential Forms Around a Singularity. In: Introduction to Singularities. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55081-5_6

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