Abstract
We prove the existence of a bound on the number of steps of the minimal model program for singular surfaces in terms of discrepancies and Chern numbers. As an application, we prove that given R∈ R> 0 and ϵ∈ (0 , 1) , the class F(R, ϵ) of 2-dimensional pairs (X, D) of general type with ϵ-klt singularities, D with standard coefficients, and 4c2(X,D)-c12(X,D)≤R, forms a bounded family.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1597-1614 |
| Number of pages | 18 |
| Journal | Mathematische Zeitschrift |
| Volume | 295 |
| Issue number | 3-4 |
| DOIs | |
| State | Published - Aug 1 2020 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
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Moraga, J. (2020). Bounding singular surfaces via Chern numbers. Mathematische Zeitschrift, 295(3-4), 1597-1614. https://doi.org/10.1007/s00209-019-02409-3