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The GIT Boundary of Quintic Threefolds
We determine the strictly semistable boundary of the GIT compactification of quintic threefolds for the natural $\mathrm{SL}(5)$-action on $\mathbb{P}(\mathrm{Sym}^5\mathbb{C}^5)$. Using the Hilbert--Mumford criterion and exact integer linear algebra, we enumerate thirty-eight maximal strictly semis
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