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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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  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.