The geometric cone conjecture in relative dimension two

Autor: Moraga, Joaquín, Stark, Talon
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: Let $X\rightarrow S$ be a fibration of relative dimension at most two and let $(X,\Delta)$ be a klt pair for which $K_X+\Delta \equiv_S 0$. 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 $\Delta$.
Comment: 35 pages
Databáze: arXiv