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math.AG2026
Derived Hodge-to-de Rham Degeneration and Quasihomogeneous Curve Singularities
Yunfan He, Junxiao Wang
We study the Hodge-completed derived Hodge-to-de Rham spectral sequence of integral projective complex curves. We prove E2-degeneration whenever every singularity is analytically q…
math.AG2023
Hodge to de Rham degeneration of nodal curves
Yunfan He
We compute the Hochschild and negative cyclic homology of the nodal curves, and we show that the (noncommutative) Hodge to de Rham spectral sequence degenerates at the second page.…