A relative GAGA principle for families of curves

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Abstract

We prove a relative GAGA principle for families of curves, showing: (i) analytic families of pointed curves whose fibres have finite automorphism groups are algebraizable; and (ii) analytic birational models of \mathcal {M}-{g,n} possessing modular interpretations with the finite automorphism property are algebraizable. This is accomplished by extending some well-known GAGA results for proper schemes to non-separated Deligne-Mumford stacks.

Original languageEnglish (US)
Pages (from-to)29-48
Number of pages20
JournalJournal of the London Mathematical Society
Volume90
Issue number1
DOIs
StatePublished - Aug 2014
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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