Projectivity of the moduli of equidimensional branchvarieties
Daniel Halpern-Leistner, Andres Fernandez Herrero, Trevor Jones, Ritvik Ramkumar
Abstract
We resolve an open problem posed by Alexeev-Knutson on the projectivity of the moduli of branchvarieties in the equidimensional case. As an application, we construct projective moduli spaces of reduced equidimensional varieties equipped with ample linear series and subject to a semistability condition.