Two new compactifications of KSBA moduli spaces of general type surfaces admit perfect obstruction theories, enabling virtual fundamental classes and tautological invariants for enumerative geometry.
Aroux, Mirror symmetry and T-duality in the complement of an anticanonical divisor,Journal of G¨ okova Geometry Topology, Vol
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Enumerative Geometry on KSBA moduli spaces
Two new compactifications of KSBA moduli spaces of general type surfaces admit perfect obstruction theories, enabling virtual fundamental classes and tautological invariants for enumerative geometry.