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arXiv · 2410.09899

On the Hodge theory of toroidal embeddings and corresponding vanishings

Chuanhao Wei
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Abstract

In this paper, we establish Deligne's logarithmic comparison theorem and the $E_1$-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.

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Chuanhao Wei. 2024-10-13. On the Hodge theory of toroidal embeddings and corresponding vanishings. https://arxiv.org/abs/2410.09899

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