On the moduli of hypersurfaces in toric orbifolds

We construct and study the moduli of stable hypersurfaces in toric orbifolds. Let X be a projective toric orbifold and $\alpha \in \operatorname{Cl}(X)$ an ample class. The moduli space is constructed as a quotient of the linear system $|\alpha|$ by $G = \operatorname{Aut}(X)$. Since the group G is...

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Bibliographic Details

Published in:	Proceedings of the Edinburgh Mathematical Society Vol. 67; no. 2; pp. 577 - 616
Main Author:	Bunnett, Dominic
Format:	Journal Article
Language:	English
Published:	Cambridge, UK Cambridge University Press 01.05.2024
Subjects:	Algebra Automorphisms Hyperspaces Theorems Topological manifolds 14L24 14J70 geometric invariant theory moduli theory toric varieties
ISSN:	0013-0915, 1464-3839
Online Access:	Get full text
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