Kähler structures on spin 6-manifolds

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Stefan Schreieder
  • Luca Tasin

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)
  • University of Bonn
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Details

Original languageEnglish
Pages (from-to)397-419
Number of pages23
JournalMathematische Annalen
Volume373
Issue number1-2
Publication statusPublished - 8 Feb 2019
Externally publishedYes

Abstract

We show that many spin 6-manifolds have the homotopy type but not the homeomorphism type of a Kähler manifold. Moreover, for given Betti numbers, there are only finitely many deformation types and hence topological types of smooth complex projective spin threefolds of general type. Finally, on a fixed spin 6-manifold, the Chern numbers take on only finitely many values on all possible Kähler structures.

Keywords

    Topology of algebraic varieties, Kähler manifolds, spin manifolds, Chern numbers, minimal model program

ASJC Scopus subject areas

Cite this

Kähler structures on spin 6-manifolds. / Schreieder, Stefan; Tasin, Luca.
In: Mathematische Annalen, Vol. 373, No. 1-2, 08.02.2019, p. 397-419.

Research output: Contribution to journal › Article › Research › peer review

Schreieder, S & Tasin, L 2019, 'Kähler structures on spin 6-manifolds', Mathematische Annalen, vol. 373, no. 1-2, pp. 397-419. https://doi.org/10.1007/s00208-017-1615-2
Schreieder S, Tasin L. Kähler structures on spin 6-manifolds. Mathematische Annalen. 2019 Feb 8;373(1-2):397-419. doi: 10.1007/s00208-017-1615-2
Schreieder, Stefan ; Tasin, Luca. / Kähler structures on spin 6-manifolds. In: Mathematische Annalen. 2019 ; Vol. 373, No. 1-2. pp. 397-419.
Download
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