The semi-ample hypersurfaces generalize the Calabi-Yau hypersurfaces
in the Batyrev's mirror symmetry construction.
While there were many developments in the last few years in understaning
mirror symmetry coming from ample hypersurfaces (complete intersections)
in toric varieties, the general case in the toric mirror symmetry
is still an unsolved problem. One reason for this is the missing
description of the cohomology of semi-ample hypersurfaces.
I will provide a complete algebraic description of the middle cohomology for
semi-ample 3-folds, and also discuss its connection to the Frobenius algebras
for A and B models in mirror symmetry.
M.I.T. Algebraic Geometry Seminar - Anvar Mavlyutov
Friday May 21, 4:00pm-5:30pm
Room 2-255
Semi-ample hypersurfaces and mirror symmetry
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