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SUMMARY: Periods of tropical K3 hypersurfaces - Yuto Yamamoto (University 
 of Tokyo)
DTSTART:20180511T140000Z
DTEND:20180511T150000Z
UID:TALK105943@talks.cam.ac.uk
CONTACT:Nils Prigge
DESCRIPTION:Let $\\Delta$ be a smooth reflexive polytope in dimension 3 an
 d $W$ be a tropical polynomial whose Newton polytope is the polar dual of 
 $\\Delta$. One can construct a $2$-sphere equipped with an integral affine
  structure  with singularities by contracting the tropical K3 hypersurface
  defined by $W$. We write the complement of the singularity as $i \\colon 
 B_0 \\hookrightarrow B$\, and the local system of integral tangent vectors
  on $B_0$ as $T$. In the talk\, we will give a primitive embedding of the 
 Picard group $\\mathrm{Pic} X$ of the toric variety $X$ associated with th
 e normal fan of $\\Delta$ into $H^1(B\, i_\\ast T)$\, and compute the radi
 ance obstruction of $B$\, which sits in the image of $\\mathrm{Pic} X$.\n
LOCATION:MR13
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