Kähler structures on spin 6-manifolds

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Stefan Schreieder
  • Luca Tasin

Externe Organisationen

  • Ludwig-Maximilians-Universität München (LMU)
  • Rheinische Friedrich-Wilhelms-Universität Bonn
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Details

OriginalspracheEnglisch
Seiten (von - bis)397-419
Seitenumfang23
FachzeitschriftMathematische Annalen
Jahrgang373
Ausgabenummer1-2
PublikationsstatusVeröffentlicht - 8 Feb. 2019
Extern publiziertJa

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.

ASJC Scopus Sachgebiete

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Kähler structures on spin 6-manifolds. / Schreieder, Stefan; Tasin, Luca.
in: Mathematische Annalen, Jahrgang 373, Nr. 1-2, 08.02.2019, S. 397-419.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Schreieder, S & Tasin, L 2019, 'Kähler structures on spin 6-manifolds', Mathematische Annalen, Jg. 373, Nr. 1-2, S. 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 ; Jahrgang 373, Nr. 1-2. S. 397-419.
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