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arXiv · 1912.02931

Boundedness of minimal partial du Val resolutions of canonical surface foliations

Yen-An Chen
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Abstract

In this paper, we prove the boundedness of foliated surfaces $(X,\mathscr{F})$ which are minimal partial du Val resolutions of canonical models $(X_c,\mathscr{F}_c)$ of general type. For applications, we show the boundedness of non-cusp singularities on canonical models of foliated surfaces of general type and the effective generation on the complement of the cusp singularities.

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Yen-An Chen. 2022-02-23. Boundedness of minimal partial du Val resolutions of canonical surface foliations. https://arxiv.org/abs/1912.02931

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