Non-Kähler C-Y 3-folds arising from singular K3 surfaces

Authors

  • Steppan Konoplev
  • Jose Medel
  • R. Vaughan Russell

DOI:

https://doi.org/10.1285/i15900932v45n1p69

Keywords:

K3 orbifold, Seifert fibration, Non-Kähler geometry

Abstract

In the paper, we study the blow-ups at singular points of a singular K3 surface and analyze the change in the Picard group during this process. Our aim is to produce examples of such surfaces that serve as the base of Seifert fibrations, carrying a non-Kähler complex structure with a trivial canonical bundle. These spaces can be explicitly identified up to a diffeomorphism and are natural candidates for solutions of the Hull-Strominger system.

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Published

08-09-2025

Issue

Volume 45, issue 1 (2025)

Section

Articoli

License

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Gli autori che pubblicano in questa rivista accettano i termini e le condizioni specificate nella licenza Creative Commons di cui al link sottostante.

http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode