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.
Quasihomogene isolierte Singularitäten von Hyperflächen
3 Pith papers cite this work. Polarity classification is still indexing.
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The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
Degeneration of the Hodge-to-de Rham and Hochschild-to-cyclic spectral sequences at E2 is equivalent to all singularities being quasihomogeneous plane curve singularities for integral projective LCI curves.
citing papers explorer
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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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Varieties of minimal degree in weighted projective space
The authors define divisible weighted projective spaces, give sharp bounds for minimal-degree non-degenerate subvarieties therein, and develop a theory of weighted determinantal scrolls that achieve minimal degree while satisfying weighted N_p properties tied to regularity notions.
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Hodge-to-de Rham degeneration and quasihomogeneous singularities of curves
Degeneration of the Hodge-to-de Rham and Hochschild-to-cyclic spectral sequences at E2 is equivalent to all singularities being quasihomogeneous plane curve singularities for integral projective LCI curves.