Year: 2026
Type: preprint
Abstract: We introduce the roots of supercritical Leung--Yau--Zaslow pairs and prove pointwise strong positivity of the associated Schur forms. The resulting LYZ cones contain the pliant cone on smooth projective threefolds, with strict inclusion on a Fujino--Sato threefold. We also establish Hard Lefschetz and Hodge--Riemann relations for the associated Chern classes on compact Kähler manifolds in bidegrees $1\le p+q\le\dim X$ with $\min\{p,q\}\le1$.
Source: arXiv (Cornell University)
Authors: Liu, Bowen, Sheng, Mao, Yau, Shing-Tung
Institution: Tsinghua University
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Chinese Academy of Sciences
Award: G763093004
OpenAlex ID: W7223383129