Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.
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2026 2verdicts
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Generalizes positivity theorems of Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles to smooth proper DM stacks admitting projective coarse moduli spaces.
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Logarithmic Hilbert schemes of curves as weighted blow-ups and their integral Chow rings
Logarithmic Hilbert schemes of points on smooth pointed curves are iterated weighted blow-ups of symmetric products, from which their integral Chow rings are computed using recent formulas for weighted blow-ups.
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Positivity in the context of Hodge modules and Higgs bundles on Deligne-Mumford stacks
Generalizes positivity theorems of Popa-Wu and Popa-Schnell for Hodge modules and Higgs bundles to smooth proper DM stacks admitting projective coarse moduli spaces.