Computes Hodge structures on cohomology of symmetric hypersurfaces and proves K-polystability for the family {x11⋯x1d + ⋯ + xld⋯xld = 0} in P^{ld-1} when l ≥ 2.
50, Cambridge Uni- versity Press, Cambridge
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Hodge theory and K-stability of some very symmetric hypersurfaces
Computes Hodge structures on cohomology of symmetric hypersurfaces and proves K-polystability for the family {x11⋯x1d + ⋯ + xld⋯xld = 0} in P^{ld-1} when l ≥ 2.