On the Chern number inequalities satisfied by all smooth complete intersection threefolds with ample canonical class
Mao Sheng, Jinxing Xu, Mingwei Zhang
TL;DR
This paper derives all linear Chern number inequalities that are satisfied by any smooth complete intersection threefold with an ample canonical bundle, providing a comprehensive set of constraints on their characteristic classes.
Contribution
It establishes a complete characterization of linear Chern number inequalities for this class of threefolds, filling a gap in the understanding of their geometric properties.
Findings
All linear Chern number inequalities are identified.
The inequalities apply universally to smooth complete intersection threefolds with ample canonical class.
The results contribute to the classification theory of algebraic threefolds.
Abstract
We obtain all linear Chern number inequalities satisfied by any smooth complete intersection threefold with ample canonical bundle.
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