On generalized canonical bundle formula and boundedness of complements in complex analytic setting
Algebraic Geometry
2026-05-05 v2
Abstract
We establish the generalized canonical bundle formula for generalized lc-trivial fibrations with irrational coefficients over non-compact bases in the complex analytic setting, and we show that the discriminant b-divisor and moduli b-divisor are compatible with restriction to arbitrary open subsets. We also discuss the boundedness of complements in this setting.
Cite
@article{arxiv.2603.17485,
title = {On generalized canonical bundle formula and boundedness of complements in complex analytic setting},
author = {Kenta Hashizume},
journal= {arXiv preprint arXiv:2603.17485},
year = {2026}
}
Comments
36 pages. Theorem 1.1 was slightly improved. Theorem 1.2 was added. Other minor changes were done