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SUMMARY:Z/2Z-equivariant smoothings of cusp singularities - Angelica Simon
 etti\, Cambridge
DTSTART:20211117T141500Z
DTEND:20211117T151500Z
UID:TALK163843@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:Cusp singularities and their quotients by a suitable action of
  Z/2Z are among the surface singularities which appear at the boundary of 
 the compactification of the moduli space of surfaces of general type due t
 o Kollar\, Shepherd-Barron and Alexeev.\n\nSince only those singularities 
 that admit a smoothing family occur at the boundary of this moduli space\,
  it is useful to find nice conditions under which they happen to be smooth
 able.\n\nWe will describe a sufficient condition for a cusp singularity ad
 mitting a Z/2Z action to be equivariantly smoothable. In particular we wil
 l see it involves the existence of certain Looijenga (or anticanonical) pa
 irs (Y\,D) that admit an involution fixed point free away from D and that 
 reverses the orientation of D.
LOCATION:CMS MR13
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