2 papers
math.DG2026
Asymptotics of small eigenvalues on degenerations of Kähler manifolds
Junyu Cao
We derive the exact asymptotic rates of the small eigenvalues of the Laplacian on one-parameter degenerations of compact Kähler manifolds equipped with induced background metrics.…
math.DG2026
The Archimedean height pairing for differential forms on degeneration of Riemann surfaces
Junyu Cao
We define the Archimedean height pairing for fiberwise cohomologically trivial differential forms on a one-parameter degeneration of Riemann surfaces, and we study its asymptotic b…