Geodesic
The KSBA compactification for the moduli space of degree two $K$3 pairs
Journal of the European Mathematical Society, Tome 18 (2016) no. 2, pp. 225-279 Cet article a éte moissonné depuis la source EMS Press

Voir la notice de l'article

Inspired by the ideas of the minimal model program, Shepherd-Barron, Kollár, and Alexeev have constructed a geometric compactification for the moduli space of surfaces of log general type. In this paper, we discuss one of the simplest examples that fits into this framework: the case of pairs (X,H) consisting of a degree two K3 surface X and an ample divisor H. Specifically, we construct and describe explicitly a geometric compactification P2​ for the moduli of degree two K3 pairs. This compactification has a natural forgetful map to the Baily–Borel compactification of the moduli space F2​ of degree two K3 surfaces. Using this map and the modular meaning of P2​, we obtain a better understanding of the geometry of the standard compactifications of F2​.
DOI : 10.4171/jems/589
Classification : 14-XX
Keywords: K3 surfaces, moduli space of K3 surfaces, KSBA 
@article{JEMS_2016_18_2_a0,
     author = {Radu Laza},
     title = {The {KSBA} compactification for the moduli space of degree two $K$3 pairs},
     journal = {Journal of the European Mathematical Society},
     pages = {225--279},
     year = {2016},
     volume = {18},
     number = {2},
     doi = {10.4171/jems/589},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/589/}
}
TY  - JOUR
AU  - Radu Laza
TI  - The KSBA compactification for the moduli space of degree two $K$3 pairs
JO  - Journal of the European Mathematical Society
PY  - 2016
SP  - 225
EP  - 279
VL  - 18
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4171/jems/589/
DO  - 10.4171/jems/589
ID  - JEMS_2016_18_2_a0
ER  - 
%0 Journal Article
%A Radu Laza
%T The KSBA compactification for the moduli space of degree two $K$3 pairs
%J Journal of the European Mathematical Society
%D 2016
%P 225-279
%V 18
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4171/jems/589/
%R 10.4171/jems/589
%F JEMS_2016_18_2_a0
Radu Laza. The KSBA compactification for the moduli space of degree two $K$3 pairs. Journal of the European Mathematical Society, Tome 18 (2016) no. 2, pp. 225-279. doi: 10.4171/jems/589

Cité par Sources :