On the Hodge theory of toroidal embeddings and corresponding vanishings
Algebraic Geometry
2024-10-15 v1
Abstract
In this paper, we establish Deligne's logarithmic comparison theorem and the -degeneration of the corresponding Hodge-de Rham spectral sequence, in the setting of toroidal embeddings. Along the way, we prove Kawamata-Viehweg Vanishing and Bott Vanishing for toroidal varieties and toric varieties respectively.
Keywords
Cite
@article{arxiv.2410.09899,
title = {On the Hodge theory of toroidal embeddings and corresponding vanishings},
author = {Chuanhao Wei},
journal= {arXiv preprint arXiv:2410.09899},
year = {2024}
}
Comments
28pages