Geodesic
An atlas of K3 surfaces with finite automorphism group
Épijournal de Géométrie Algébrique, Tome 6 (2022)

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We study the geometry of the K3 surfaces $X$ with a finite number automorphisms and Picard number $\geq 3$. We describe these surfaces classified by Nikulin and Vinberg as double covers of simpler surfaces or embedded in a projective space. We study moreover the configurations of their finite set of $(-2)$-curves.
DOI : 10.46298/epiga.2022.6286
Classification : 14J28 
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     author = {Roulleau, Xavier},
     title = {An atlas of {K3} surfaces with finite automorphism group},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     volume = {6},
     year = {2022},
     doi = {10.46298/epiga.2022.6286},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2022.6286/}
}
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Roulleau, Xavier. An atlas of K3 surfaces with finite automorphism group. Épijournal de Géométrie Algébrique, Tome 6 (2022). doi: 10.46298/epiga.2022.6286

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