2011/07/14 by Paul Hacking, Hacking, Paul
Mathematics · #14J10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1107.2717
openalex publication_date 2011/07/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give an introduction to the compactification of the moduli space of surfaces of general type introduced by Kollár and Shepherd-Barron and generalized to the case of surfaces with a divisor by Alexeev. The construction is an application of Mori's minimal model program for 3-folds. We review the example of the projective plane with a curve of degree d > 3. We explain a connection between the geometry of the boundary of the compactification of the moduli space and the classification of vector bundles on the surface in the case H2,0=H1=0.