Threefold thresholds

By J. McKernan, Yuri Prokhorov. 2003

53 citations recorded by the source corpus.

Abstract.We prove that the set of accumulation points of thresholds in dimension three is equal to the set of thresholds in dimension two, excluding one.

Subfields: Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/c3b77c4a1a140b50d0bdeccb690ac7df6a32b970

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In Mathematical Physics

1. Mattias Jonsson
2. J. McKernan
3. Christopher D. Hacon
4. C. Favre
5. Chi Li
6. C. Birkar
7. M. Mustaţă
8. S. Boucksom

Citations in the corpus

• ACC for log canonical thresholds (2012, background): “[21], [28], [17], conjectured that the accumulation points in dimension n are log canonical thresholds in dimension n− 1: Theorem 1.”
• Valuations and multiplier ideals (2004, background): “f in Section 6, independent of both approaches above. It is conjectured (see [DK, Remark 3.5]) that the ascending chain condition applies to set of complex singularity exponents in any dimension (see [MP] for the most recent result in this direction). We hope that our result might lead to further de”