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The birational Torelli problem for Calabi-Yau 3-folds

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John Ottem (Oslo) - Seminar Algebraic Geometry (SAG)

What
  • Seminar
When Jan 18, 2018
from 10:30 am to 11:30 am
Where Bonn, Hörsaal MPI, Vivatsgasse 7
Contact Name Sachinidis
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The intersection of two general PGL(10)-translates of the Grassmannian Gr(2,5) in P9 is a Calabi-Yau 3-fold X,

and the intersection of the projective duals of the two translates is another Calabi-Yau 3-fold Y. We show that
X and Y provide counterexamples to a certain ”birational” Torelli problem for Calabi-Yau 3-folds, namely, they
are deformation equivalent, derived equivalent, and have isomorphic Hodge structures, yet they are not birational.

This is joint work with Jørgen Vold Rennemo.