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arxiv: 1906.01397 · v1 · pith:2EWPTXGJnew · submitted 2019-06-04 · 🧮 math.AG · math.GT

Chern numbers of uniruled threefolds

classification 🧮 math.AG math.GT
keywords chernnumbersdimensionthreefoldsauthorboundedboundednesscascini
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In this paper we show that the Chern numbers of a smooth Mori fibre space in dimension three are bounded in terms of the underlying topological manifold. We also generalise a theorem of Cascini and the second named author on the boundedness of Chern numbers of certain threefolds to the case of negative Kodaira dimension.

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