Аннотация:
Let $F$ be a moduli space of
lattice-polarized K3 surfaces. Suppose that one has chosen a
canonical effective ample divisor $R$ on a general K3 in $F$. We call
this divisor "recognizable" if its flat limit on Kulikov surfaces is
well defined. We prove that the normalization of the stable pair
compactification $F_R$ for a recognizable divisor is a Looijenga
semitoroidal compactification. For polarized K3 surfaces $(X,L)$ of
degree $2d$, we show that the sum of rational curves in the linear
system $|L|$ is a recognizable divisor, giving a modular semitoroidal
compactification of $F_{2d}$ for all $d$.
This is a joint work with Philip Engel.
Язык доклада: английский
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