Semistable degenerations and period spaces for polarized K3 surfaces
Semistable degenerations and period spaces for polarized K3 surfaces
Modular compactifications of moduli spaces for polarized K3 surfaces are constructed using the tools of logarithmic geometry in the sense of Fontaine and Illusie. The relationship between these new moduli spaces and the classical minimal and toroidal compactifications of period spaces is discussed, and it is explained how the techniques …