S. Mori

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math.AG2025

Toward the classification of threefold extremal contractions with one-dimensional fibers

Shigefumi Mori, Yuri Prokhorov

An extremal curve germ is a germ of a threefold $X$ with terminal singularities along a connected reduced complete curve~ $C$ such that there exists a $K_{X}$ -negative contraction $f…

math.AG2024

General elephants for threefold extremal contractions with one-dimensional fibers: exceptional case

Shigefumi Mori, Yuri Prokhorov

Let $(X, C)$ be a germ of a threefold $X$ with terminal singularities along a connected reduced complete curve $C$ with a contraction $f : (X, C) \to (Z, o)$ such that $C = f^{-1}…