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math.DG2026
Structure of Torus Fibration Under the First Betti Number Restriction
Xin Peng, Bing Wang, Zhenjian Wang
We study torus bundles with affine structure groups. First, we establish a rigidity result under constraints on the first Betti numbers: If $ \text{b}_{1}(M)-\text{b}_{1}(N)=\dim M…
math.AG2026
New proofs for technical results in "Infinitesimal invariants of mixed Hodge structures'' (arXiv:2406.17118v1)
Zhenjian Wang
Cubic forms are constructed in the work of R. Aguilar, M. Green and P. Griffiths to establish the generic global Torelli theorem for Fano-K3 pairs , where is a…
math.AG2026
On Strong Lefschetz Property of 0-dimensional Complete Intersections and Associated Forms
Zhenjian Wang
We prove that a homogeneous 0-dimensional complete intersection satisfies the Strong Lefschetz Property (SLP) in degree 1 if and only if its associated form has nonzero Hessian. Th…