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arXiv · 2306.16726

Chern numbers of terminal threefolds

Paolo Cascini·Hsin-Ku Chen
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Abstract

Let X be a smooth threefold. We show that if $X_i\dashrightarrow X_{i+1}$ is a flip which appears in the $K_X$-MMP, then $c_1(X_i)^3-c_1(X_{i+1})^3$ is bounded by a constant depending only on $b_2(X)$.

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Paolo Cascini, Hsin-Ku Chen. 2023-06-29. Chern numbers of terminal threefolds. https://arxiv.org/abs/2306.16726

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