Chern numbers of terminal threefolds
Paolo Cascini, Hsin-Ku Chen

TL;DR
This paper proves that the change in the cube of the first Chern class during flips in the minimal model program for smooth threefolds is bounded by a constant depending only on the second Betti number.
Contribution
It establishes a uniform bound on the variation of Chern numbers during flips in the minimal model program for threefolds.
Findings
Bound on the difference of c_1^3 during flips
Dependence of the bound only on b_2(X)
Advances understanding of Chern number behavior in MMP
Abstract
Let X be a smooth threefold. We show that if is a flip which appears in the -MMP, then is bounded by a constant depending only on .
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Taxonomy
TopicsAdvanced Operator Algebra Research · Geometry and complex manifolds · Geometric and Algebraic Topology
