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A relative GAGA principle for families of curves

Hall, Jack

Description

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.

CollectionsANU Research Publications
Date published: 2014
Type: Journal article
URI: http://hdl.handle.net/1885/28942
Source: Journal of the London Mathematical Society
DOI: 10.1112/jlms/jdu012

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