TY - JOUR
T1 - Bounding singular surfaces via Chern numbers
AU - Moraga, Joaquín
N1 - Publisher Copyright:
© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2020/8/1
Y1 - 2020/8/1
N2 - 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.
AB - 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.
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U2 - 10.1007/s00209-019-02409-3
DO - 10.1007/s00209-019-02409-3
M3 - Article
AN - SCOPUS:85075332368
VL - 295
SP - 1597
EP - 1614
JO - Mathematische Zeitschrift
JF - Mathematische Zeitschrift
SN - 0025-5874
IS - 3-4
ER -