Projectivity of the moduli of equidimensional branchvarieties

Projectivity of the moduli of equidimensional branchvarieties

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 conditi...

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Hauptverfasser: Halpern-Leistner, Daniel, Herrero, Andres Fernandez, Jones, Trevor, Ramkumar, Ritvik
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics - Algebraic Geometry
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Zusammenfassung: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.
DOI:10.48550/arxiv.2410.10753