We construct complex surfaces of general type with and as double covers of Enriques surfaces (called Keum–Naie surfaces) with a different way to the original constructions of Keum and Naie. As a result, we show that there is a -curve on the example with , which might imply a special relation between Keum–Naie surfaces with and .
Nous construisons des surfaces complexes de type général avec et (appelées surfaces de Keum–Naie), comme revêtements doubles de surfaces d'Enriques. Notre construction diffère de celle utilisée originellement par Keum–Naie. Comme application, nous montrons qu'il existe une -courbe sur une telle surface avec , ce qui suggère l'existence d'une relation particulière entre les surfaces de Keum–Naie satisfaisant et .
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Heesang Park 1; Dongsoo Shin 2; Yoonjeong Yang 2
@article{CRMATH_2019__357_3_291_0, author = {Heesang Park and Dongsoo Shin and Yoonjeong Yang}, title = {Complex surfaces of general type with {\protect\emph{K}\protect\textsuperscript{2} = 3,4} and \protect\emph{p}\protect\textsubscript{\protect\emph{g}} = \protect\emph{q} = 0}, journal = {Comptes Rendus. Math\'ematique}, pages = {291--295}, publisher = {Elsevier}, volume = {357}, number = {3}, year = {2019}, doi = {10.1016/j.crma.2019.02.006}, language = {en}, }
Heesang Park; Dongsoo Shin; Yoonjeong Yang. Complex surfaces of general type with K2 = 3,4 and pg = q = 0. Comptes Rendus. Mathématique, Volume 357 (2019) no. 3, pp. 291-295. doi : 10.1016/j.crma.2019.02.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2019.02.006/
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