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) |
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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)