Abstract
In this paper we study (ε,δ)-lc singularites, i.e. ε-lc singularities admitting a δ-plt blow-up. We prove that n-dimensional (ε,δ)-lc singularities are bounded up to a deformation, and 2-dimensional (ε,δ)-lc singularities form a bounded family. Furthermore, we give an example which shows that (ε,δ)-lc singularities are not bounded in higher dimensions, even in the analytic sense.
Original language | English (US) |
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Pages (from-to) | 1-28 |
Number of pages | 28 |
Journal | Journal of Mathematical Sciences (Japan) |
Volume | 27 |
Issue number | 1 |
State | Published - 2020 |
Keywords
- Bounded families
- Deformations
- Klt singularities
- Log discrepancies
- Plt blow-up
ASJC Scopus subject areas
- General Mathematics