On fibration stability after Dervan-Sektnan and singularities

Masafumi Hattori

On fibration stability after Dervan-Sektnan and singularities

Algebraic Geometry 2022-02-22 v1 Differential Geometry

Authors: Masafumi Hattori

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.

Keywords

f-stability fibration stability semi log canonical singularities fano fibration algebraic geometry

Cite

@article{arxiv.2202.09992,
  title  = {On fibration stability after Dervan-Sektnan and singularities},
  author = {Masafumi Hattori},
  journal= {arXiv preprint arXiv:2202.09992},
  year   = {2022}
}

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28 pages

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