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Hauptverfasser: Halpern-Leistner, Daniel, Herrero, Andres Fernandez, Jones, Trevor, Ramkumar, Ritvik
Format: Preprint
Veröffentlicht: 2024
Schlagworte:
Online-Zugang:https://arxiv.org/abs/2410.10753
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author Halpern-Leistner, Daniel
Herrero, Andres Fernandez
Jones, Trevor
Ramkumar, Ritvik
author_facet Halpern-Leistner, Daniel
Herrero, Andres Fernandez
Jones, Trevor
Ramkumar, Ritvik
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2410_10753
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Projectivity of the moduli of equidimensional branchvarieties
Halpern-Leistner, Daniel
Herrero, Andres Fernandez
Jones, Trevor
Ramkumar, Ritvik
Algebraic Geometry
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.
title Projectivity of the moduli of equidimensional branchvarieties
topic Algebraic Geometry
url https://arxiv.org/abs/2410.10753