A compact moduli of orbifold projective curves

Fuente: arXiv
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Hauptverfasser: Abdelgadir, Tarig, Chan, Daniel, Okawa, Shinnosuke, Ueda, Kazushi
Format: Preprint
Veröffentlicht: 2024
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author Abdelgadir, Tarig
Chan, Daniel
Okawa, Shinnosuke
Ueda, Kazushi
author_facet Abdelgadir, Tarig
Chan, Daniel
Okawa, Shinnosuke
Ueda, Kazushi
contents We introduce the notion of stable orbifold projective curves, and show that the moduli stack of stable orbifold projective curves is isomorphic to the moduli stack of weighted pointed stable curves in the sense of Hassett with respect to the weights determined by the automorphism groups of the stacky points.
format Preprint
id arxiv_https___arxiv_org_abs_2401_14797
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A compact moduli of orbifold projective curves
Abdelgadir, Tarig
Chan, Daniel
Okawa, Shinnosuke
Ueda, Kazushi
Algebraic Geometry
We introduce the notion of stable orbifold projective curves, and show that the moduli stack of stable orbifold projective curves is isomorphic to the moduli stack of weighted pointed stable curves in the sense of Hassett with respect to the weights determined by the automorphism groups of the stacky points.
title A compact moduli of orbifold projective curves
topic Algebraic Geometry
url https://arxiv.org/abs/2401.14797