4 papers
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…
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…
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…
Self-intersection Number of Negative Curves on Fermat Surfaces
Zhenjian Wang
We give an explicit formula for the self-intersection number of negative curves on Fermat surfaces. The formula offers us hints to either prove or disprove the Bounded Negativity C…