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SUMMARY:Good moduli spaces of A_r-stable curves - Michele Pernice KTH
DTSTART:20250226T141500Z
DTEND:20250226T151500Z
UID:TALK228901@talks.cam.ac.uk
CONTACT:Mark Gross
DESCRIPTION:The search for alternative compactifications of the moduli spa
 ce 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.\n\n\n
LOCATION:CMS MR13
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