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.
Thaddeus, Geometric invariant theory and flips, J
2 Pith papers cite this work. Polarity classification is still indexing.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
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.
-
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.