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arXiv · 2202.09992

On fibration stability after Dervan-Sektnan and singularities

Masafumi Hattori
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Abstract

We introduce $\mathfrak{f}$-stability, a modification of fibration stability of Dervan-Sektnan [12], and show that $\mathfrak{f}$-semistable fibrations have only semi log canonical singularities. Moreover, $\mathfrak{f}$-stability puts restrictions on semi log canonical centers on Fano fibrations.

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Masafumi Hattori. 2022-02-21. On fibration stability after Dervan-Sektnan and singularities. https://arxiv.org/abs/2202.09992

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