Chern Numbers of Uniruled Threefolds

Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review

Authors

  • Stefan Schreieder
  • Luca Tasin

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)
  • University of Milan - Bicocca (UNIMIB)
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Details

Original languageEnglish
Title of host publicationBirational Geometry and Moduli Spaces
EditorsElisabetta Colombo, Barbara Fantechi, Paola Frediani, Donatella Iacono, Rita Pardini
PublisherSpringer International Publishing AG
Pages189-200
Number of pages12
Volume39
ISBN (electronic)978-3-030-37114-2
ISBN (print)978-3-030-37113-5
Publication statusPublished - 26 Feb 2020
Externally publishedYes

Publication series

NameSpringer INdAM Series
Volume39
ISSN (Print)2281-518X
ISSN (electronic)2281-5198

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.

Keywords

    Characteristic classes and numbers, Minimal model program, Mori fibre spaces, Three-folds, Topological properties of complex manifolds

ASJC Scopus subject areas

Cite this

Chern Numbers of Uniruled Threefolds. / Schreieder, Stefan; Tasin, Luca.
Birational Geometry and Moduli Spaces. ed. / Elisabetta Colombo; Barbara Fantechi; Paola Frediani; Donatella Iacono; Rita Pardini. Vol. 39 Springer International Publishing AG, 2020. p. 189-200 (Springer INdAM Series; Vol. 39).

Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review

Schreieder, S & Tasin, L 2020, Chern Numbers of Uniruled Threefolds. in E Colombo, B Fantechi, P Frediani, D Iacono & R Pardini (eds), Birational Geometry and Moduli Spaces. vol. 39, Springer INdAM Series, vol. 39, Springer International Publishing AG, pp. 189-200. https://doi.org/10.1007/978-3-030-37114-2_11
Schreieder, S., & Tasin, L. (2020). Chern Numbers of Uniruled Threefolds. In E. Colombo, B. Fantechi, P. Frediani, D. Iacono, & R. Pardini (Eds.), Birational Geometry and Moduli Spaces (Vol. 39, pp. 189-200). (Springer INdAM Series; Vol. 39). Springer International Publishing AG. https://doi.org/10.1007/978-3-030-37114-2_11
Schreieder S, Tasin L. Chern Numbers of Uniruled Threefolds. In Colombo E, Fantechi B, Frediani P, Iacono D, Pardini R, editors, Birational Geometry and Moduli Spaces. Vol. 39. Springer International Publishing AG. 2020. p. 189-200. (Springer INdAM Series). doi: 10.1007/978-3-030-37114-2_11
Schreieder, Stefan ; Tasin, Luca. / Chern Numbers of Uniruled Threefolds. Birational Geometry and Moduli Spaces. editor / Elisabetta Colombo ; Barbara Fantechi ; Paola Frediani ; Donatella Iacono ; Rita Pardini. Vol. 39 Springer International Publishing AG, 2020. pp. 189-200 (Springer INdAM Series).
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