Compact moduli spaces of surfaces of general type

被引：21
作者：
Hacking, Paul [1 ]
机构：
[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA
来源：
COMPACT MODULI SPACES AND VECTOR BUNDLES | 2012年 / 564卷
关键词：
SIMPLY CONNECTED SURFACE; CUSP SINGULARITIES; CURVES; P(G)=0; DEGENERATIONS; DEFORMATIONS; 4-MANIFOLDS; SMOOTHINGS; BUNDLES;
D O I：
10.1090/conm/564/11157
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give an introduction to the compactification of the moduli space of surfaces of general type introduced by Kollar 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 >= 4. 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. H-2,H-0 = H-1 = 0.
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页码：1 / 18
页数：18
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