3 papers
math.DG2026
Kähler metrics of negative holomorphic (bi)sectional curvature on a compact relative Kähler fibration
Xueyuan Wan
For a compact relative Kähler fibration over a compact Kähler manifold with negative holomorphic sectional curvature, if the relative Kähler form on each fiber also exhibits neg…
math.CV2025
Obstructions of deforming complex structures and cohomology contractions
Xueyuan Wan, Wei Xia
The Kodaira principle asserts that suitable cohomological contraction maps annihilate obstructions to deforming complex structures. In this paper, we revisit these phenomena from a…
math.DG2025
Deformations of -forms and degenerations of the Frölicher spectral sequence
Xueyuan Wan, Wei Xia
It is well-known that Hodge numbers are invariant under deformations of complex structures if the Frölicher spectral sequence of the central fiber degenerates at the first page (i…