2 papers
math.AG2026
On the behavior of analytic torsion for twisted canonical bundles under degenerations
Ken-Ichi Yoshikawa
Consider a degeneration of projective algebraic manifolds equipped with a compact group action over a curve. Suppose that the total space carries a Nakano semi-positive vector bund…
math.DG2025
Degeneration of Riemann surfaces and small eigenvalues of the Laplacian
Xianzhe Dai, Ken-Ichi Yoshikawa
For a one-parameter degeneration of compact Riemann surfaces endowed with the Kähler metric induced from the Kähler metric on the total space of the family, we determine the exact…