Geodesic
The KSBA compactification for the moduli space of degree two K3 pairs
Journal of the European Mathematical Society, Tome 18 (2016) no. 2, pp. 225-279.

Voir la notice de l'article provenant de la source EMS Press

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
Mots-clés : K3 surfaces, moduli space of K3 surfaces, KSBA 
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     title = {The {KSBA} compactification for the moduli space of degree two $K$3 pairs},
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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. https://geodesic-test.mathdoc.fr/articles/10.4171/jems/589/

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