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The geometric cone conjecture in relative dimension two https://arxiv.org/abs/2409.13068 #mathAG

The geometric cone conjecture in relative dimension two

Let $X\rightarrow S$ be a fibration of relative dimension at most two and let $(X,Δ)$ be a klt pair for which $K_X+Δ\equiv_S 0$. We show that there are only finitely many Mori chambers and Mori faces in the movable effective cone $\mathcal{M}^e(X/S)$ up to the action of relative pseudo-automorphisms of $X/S$ preserving $Δ$.

arxiv.org
September 24, 2024 at 3:10 AM · · feed2toot · 0 · 0 · 0
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