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math.AG2024
Compactifications of moduli spaces of K3 surfaces with a higher-order nonsymplectic automorphism
Valery Alexeev, Anand Deopurkar, Changho Han
We describe Baily-Borel, toroidal, and geometric -- using the KSBA stable pairs -- compactifications of some moduli spaces of K3 surfaces with a nonsymplectic automorphism of order…
math.AG2024
Extending the Torelli map to alternative compactifications of the moduli space of curves
Changho Han, Jesse Leo Kass, Matthew Satriano
Determining the limiting behaviour of the Jacobian as the underlying curve degenerates has been the subject of much interest. For nodal singularities, there are beautiful construct…