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arxiv: 1503.08668 · v2 · pith:6TNGKVQOnew · submitted 2015-03-30 · 🧮 math.AG · math.DG

Ampleness of the CM line bundle on the moduli space of canonically polarized varieties

Zsolt Patakfalvi , Chenyang Xu This is my paper
classification 🧮 math.AG math.DG
keywords bundlelinemodulispacevarietiesampleamplenesscanonically
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We prove that the CM line bundle is ample on the proper moduli space which parametrizes KSBA stable varieties.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Enumerative Geometry on KSBA moduli spaces

    math.AG 2026-05 unverdicted novelty 7.0

    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.

  2. The virtual fundamental class for the moduli space of surfaces of general type

    math.AG 2022-06 unverdicted novelty 7.0

    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.