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arXiv · 2409.15993

A contraction theorem for divisors fibering over a curve

Andreas Höring·Thomas Peternell
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Abstract

Given a Q-Cartier divisor $S \subset X$ admitting a fibration $S \rightarrow B$ onto a curve we give sufficient conditions for the existence of a bimeromorphic contraction contracting S onto B. As a corollary we recover a contraction result for compact K\"ahler threefolds.

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Andreas Höring, Thomas Peternell. 2024-09-24. A contraction theorem for divisors fibering over a curve. https://arxiv.org/abs/2409.15993

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