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arXiv · 2407.07657

Connectedness of the moduli space of all reduced curves

Sebastian Bozlee
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Abstract

Using moduli of equinormalized curves and Ishii's theory of territories, we prove that the moduli stack of all reduced n-pointed algebraic curves of fixed arithmetic genus is connected.

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Sebastian Bozlee. 2024-07-10. Connectedness of the moduli space of all reduced curves. https://arxiv.org/abs/2407.07657

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