Takayuki Koike ; Takato Uehara - A gluing construction of projective K3 surfaces

epiga:8504 - Épijournal de Géométrie Algébrique, July 6, 2022, Volume 6 - https://doi.org/10.46298/epiga.2022.volume6.8504
A gluing construction of projective K3 surfacesArticle

Authors: Takayuki Koike ORCID1; Takato Uehara 2

  • 1 Department of Mathematics, Graduate School of Science, Osaka City University, 3-3-138 Sugimoto, Osaka 558-8585, Japan
  • 2 Department of Mathematics, Faculty of Science, Okayama University, 1-1-1, Tsushimanaka, Okayama, 700-8530, Japan

We construct a non-Kummer projective K3 surface $X$ which admits compact Levi-flats by holomorphically patching two open complex surfaces obtained as the complements of tubular neighborhoods of elliptic curves embedded in blow-ups of the projective plane at nine general points.

Comment: final version to appear in \'Epijournal de Géometrie Algébrique

https://doi.org/10.46298/epiga.2022.volume6.8504
Source: arXiv.org:2108.07168
Volume: Volume 6
Published on: July 6, 2022
Accepted on: July 6, 2022
Submitted on: September 20, 2021
Keywords: Mathematics - Algebraic Geometry, Mathematics - Complex Variables, Primary 14J28, Secondary 32G05
Licence: Attribution-ShareAlike 4.0 International (CC BY-SA 4.0)

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