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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Good moduli space of $A_r$-stable curves

## Good moduli space of $A_r$-stable curvesAdd to your list(s) Download to your calendar using vCal - Michele Pernice (KTH - Royal Institute of Technology)
- Tuesday 18 June 2024, 14:00-14:40
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. EMGW05 - Moduli stacks and enumerative geometry The search for alternative compactifications of the moduli space of smooth curves has been central in the panorama of moduli spaces and a possible way to construct such compactifications is allowing curves with worse-than-nodal singularities. Curves with $A_r$-singularities, which we call $A_r$-stable, naturally appear in the literature as a possible choice. This project focuses on proving the existence of the good moduli space of a suitable open of the moduli stack of $A_r$-stable curves. We will explain the choice of the open by showing what the obstructions to $S$-completeness and $\Theta$-reductivity are for the stack of $A_r$-stable curves. This is an on-going project with Davide Gori and Ludvig Modin. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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