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Families of divisors

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arxiv 1910.00937 v1 pith:BCXZDW7M submitted 2019-10-02 math.AG

János Kollár This is my paper · ORCID
classification math.AG
keywords divisorsmodulitheorycayley-chowcompletesconstructiondeltaestablish
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abstract

We establish a new moduli theory for divisors, that interpolates between the Hilbert scheme and the Cayley-Chow variety. This completes the last step in the construction of a good moduli theory for stable pairs $(X,\Delta)$.

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Cited by 1 Pith paper

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  1. Stable maps to quotient stacks with a properly stable point

    math.AG 2024-11 conditional novelty 7.0 of 10

    A new extended weighted blow-up construction yields proper Deligne-Mumford compactifications of stable maps to quotient stacks with projective good moduli space.

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