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SUMMARY:Deformations of semi-smooth varieties and the boundary of the modu
 li space of Godeaux surfaces - Barbara Fantechi (SISSA)
DTSTART:20240426T130000Z
DTEND:20240426T140000Z
UID:TALK216145@talks.cam.ac.uk
DESCRIPTION:A variety X is semismooth if &eacute\;tale locally it is isomo
 rphic to a product of a pinch point (x^2y-z2) with some affine space\; equ
 ivalently\, its normalization is smooth and X is obtained by gluing a smoo
 th divisor to itself via an involution with fixed points in codimension 1.
  In joint work with Marco Franciosi and Rita Pardini\, we calculate the sh
 eaves T1_X and T_X in terms of the normalization and the gluing\, and use 
 this to show that all semi-smooth non normal stable Godeaux surfaces are s
 moothable\, and nonsingular points of the moduli space.&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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