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.

Chern Numbers of Uniruled Threefolds / S. Schreieder, L. Tasin (SPRINGER INDAM SERIES). - In: Birational Geometry and Moduli Spaces / [a cura di] E. Colombo, B. Fantechi, P. Frediani, D. Iacono, R. Pardini. - [s.l] : Springer, 2020. - ISBN 978-3-030-37113-5. - pp. 189-200 [10.1007/978-3-030-37114-2_11]

Chern Numbers of Uniruled Threefolds

L. Tasin
2020

Abstract

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.
Characteristic classes and numbers; Minimal model program; Mori fibre spaces; Three-folds; Topological properties of complex manifolds
Settore MAT/03 - Geometria
2020
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/917090
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