Divisors and Sheaves on a Variety

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

Chapter Chapter 5 in Introduction to Singularities, 2014, pp 81-97 from Springer

Abstract: 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.

Keywords: Canonical Bundle; Variable Resolution; Sheaves; Cartier Divisor; General Projective Varieties (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_5

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DOI: 10.1007/978-4-431-55081-5_5

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