Geodesic
Classification of Picard lattices of K3 surfaces
Izvestiya. Mathematics , Tome 82 (2018) no. 4, pp. 752-816

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Using the results of our papers [1]–[4] on the classification of degenerations of Kählerian K3 surfaces, we classify the Picard lattices of Kählerian K3 surfaces. By classification we mean classification depending on their possible finite symplectic automorphism groups and their non-singular rational curves when the Picard lattice is negative definite.
Keywords: K3 surface, complex surface, Picard lattice, rational curve, degeneration, integer symmetric bilinear form.
Mots-clés : automorphism group 
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     author = {V. V. Nikulin},
     title = {Classification of {Picard} lattices of {K3} surfaces},
     journal = {Izvestiya. Mathematics },
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     number = {4},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2018_82_4_a3/}
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V. V. Nikulin. Classification of Picard lattices of K3 surfaces. Izvestiya. Mathematics , Tome 82 (2018) no. 4, pp. 752-816. http://geodesic.mathdoc.fr/item/IM2_2018_82_4_a3/