Chern Numbers of Terminal Threefolds
Abstract Let $X$ be a smooth complex projective 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 $b_{2}(X)$.
Authors
- Paolo Cascini (ORCID: https://orcid.org/0000-0003-4958-4732)
- Hsin‐Ku Chen (ORCID: https://orcid.org/0000-0001-7091-2177)
Institutions
- Korea Institute for Advanced Study (KR)
- Imperial College London (GB)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-11-05
- DOI
- https://doi.org/10.1093/imrn/rnae247
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Engineering and Physical Sciences Research Council