On the Chern numbers of a smooth threefold
Paolo Cascini, Luca Tasin
TL;DR
This paper investigates how Chern numbers of smooth threefolds change when subjected to divisorial contractions, providing insights into their behavior in algebraic geometry.
Contribution
It offers a detailed analysis of the transformation of Chern numbers during divisorial contractions of threefolds, a previously less understood aspect.
Findings
Chern numbers vary predictably under divisorial contractions
Provides formulas relating initial and resulting Chern numbers
Enhances understanding of threefold birational geometry
Abstract
We study the behaviour of Chern numbers of three dimensional terminal varieties under divisorial contractions.
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