From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
Limiting Hodge Structures for Cubic Hypersurfaces of Secant Type
Renjie Lyu
The paper investigates the limiting Hodge structures that arise when cubic hypersurfaces degenerate to singular cubics of secant type, focusing on hyperplane sections of Severi var…
math.AG2026
Degenerations to secant cubic hypersurfaces and limiting Hodge structure
Renjie Lyu, Zhiwei Zheng
The secant variety of the Veronese surface is a singular cubic fourfold. Degenerations to this specific cubic fourfold and the associated limiting Hodge structures are key ingredie…
math.AG2025
The Chevalley--Weil formula for finite group actions on higher dimensional compact complex manifolds
Wenfei Liu, Renjie Lyu
Building on the Atiyah--Singer holomorphic Lefschetz fixed-point theorem, we define ramification modules associated to the fixed loci of a finite group acting on a compact complex…