The GIT boundary of quintic threefolds consists of 38 components whose general polystable representatives have minimal exponent 1 and form a connected codimension-one adjacency graph with 184 edges and diameter 4.
Math.291 (2016), 330–361
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
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The GIT Boundary of Quintic Threefolds (Announcement of Results)
The GIT boundary of quintic threefolds consists of 38 components whose general polystable representatives have minimal exponent 1 and form a connected codimension-one adjacency graph with 184 edges and diameter 4.
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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.