Z_2^s-covers of weighted projective threefolds of general type yield explicit ratios for volume over Euler characteristics as functions of branch divisor degree ratios, a counterexample to Hunt's conjecture, extended deformation criteria for non-flat covers, and 32 deformation types for s >= 2 with
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Proves existence of virtual fundamental class on KSBA moduli space of stable general type surfaces by constructing it on the moduli stack of lci covers and pushing forward.
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Geography and Deformations of $\mathbb{Z}_2^s$-Covers of General Type Over Weighted Projective Threefolds
Z_2^s-covers of weighted projective threefolds of general type yield explicit ratios for volume over Euler characteristics as functions of branch divisor degree ratios, a counterexample to Hunt's conjecture, extended deformation criteria for non-flat covers, and 32 deformation types for s >= 2 with
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The virtual fundamental class for the moduli space of surfaces of general type
Proves existence of virtual fundamental class on KSBA moduli space of stable general type surfaces by constructing it on the moduli stack of lci covers and pushing forward.