Griffiths, PhillipPhillipGriffithsGreen, MarkMarkGreenRobles, ColleenColleenRobles2021-02-192021-02-192021-02-11https://hdl.handle.net/20.500.12111/7937The motivation behind this work is to construct a "Hodge theoretically maximal" completion of a period map. This is done up to finite data (we work with the Stein factorization of the period map). The image of the extension is a Moishezon variety that compactifies a finite cover of the image of the period map.en-USHodge theoryperiod mappingPreprintarXiv:2010.06720