Constructs the KSBA compactification of moduli of Persson surfaces as (Z/2Z)^4-covers of P^2 and proves a generic global Torelli theorem from the anti-invariant Hodge structure on the etale double cover with (Z/2Z)^5 action.
MMP for locally stable families and wall crossing for moduli of stable pairs, 2023
2 Pith papers cite this work. Polarity classification is still indexing.
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Classifies boundary surfaces in the KSBA-moduli space of elliptic surfaces with bisections, recovers moduli stack results for elliptic surfaces with sections via new proofs avoiding specific MMP steps, and compactifies the moduli stack of hyperelliptic K3 surfaces.
citing papers explorer
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Moduli of Persson surfaces: The compactification via KSBA stable pairs and a generic global Torelli type theorem
Constructs the KSBA compactification of moduli of Persson surfaces as (Z/2Z)^4-covers of P^2 and proves a generic global Torelli theorem from the anti-invariant Hodge structure on the etale double cover with (Z/2Z)^5 action.
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Moduli of surfaces fibered in (log) Calabi-Yau pairs II: elliptic surfaces
Classifies boundary surfaces in the KSBA-moduli space of elliptic surfaces with bisections, recovers moduli stack results for elliptic surfaces with sections via new proofs avoiding specific MMP steps, and compactifies the moduli stack of hyperelliptic K3 surfaces.