Projectivity of the moduli of equidimensional branchvarieties
Algebraic Geometry
2025-05-16 v2
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.
Keywords
Cite
@article{arxiv.2410.10753,
title = {Projectivity of the moduli of equidimensional branchvarieties},
author = {Daniel Halpern-Leistner and Andres Fernandez Herrero and Trevor Jones and Ritvik Ramkumar},
journal= {arXiv preprint arXiv:2410.10753},
year = {2025}
}
Comments
34 pages. Final accepted version