Log canonical foliation singularities on surfaces

Yen‐An Chen

Mathematische Nachrichten, 2023, vol. 296, issue 8, 3222-3256

Abstract: We give a classification of the dual graphs of the exceptional divisors on the minimal resolutions of log canonical foliation singularities on surfaces. As an application, we show the set of foliated minimal log discrepancies for foliated surface triples satisfies the ascending chain condition and a Grauert–Riemenschneider–type vanishing theorem for foliated surfaces with special log canonical foliation singularities.

Date: 2023
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https://doi.org/10.1002/mana.202100215

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