Geodesic
Minimal Model Program for Normal Pairs along log Canonical Locus
Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e143

Voir la notice de l'article provenant de la source Cambridge University Press

Let $(X,\Delta )$ be a normal pair with a projective morphism $X \to Z$ and let A be a relatively ample $\mathbb {R}$-divisor on X. We prove the termination of some minimal model program on $(X,\Delta +A)/Z$ and the abundance conjecture for its minimal model under assumptions that the non-nef locus of $K_{X}+\Delta +A$ over Z does not intersect the non-lc locus of $(X,\Delta )$ and that the restriction of $K_{X}+\Delta +A$ to the non-lc locus of $(X,\Delta )$ is semi-ample over Z. 
Hashizume, Kenta. Minimal Model Program for Normal Pairs along log Canonical Locus. Forum of Mathematics, Sigma, Tome 13 (2025) no. 1, p. e143. doi: 10.1017/fms.2025.10092
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