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A database of polarized \(K3\) surfaces. (English) Zbl 1135.14028

The author extends the classification of polarized \(K3\) surfaces and gives a list that contains the numerical data of all polarized \(K3\) surfaces. The list contains 24,099 numerical \(K3\) candidates. The list itself was not contained in the current paper. But the author explains his classification and relates his list to the existing ones. One main idea in his approach is the Hilbert series. The list should be very useful as testing examples for various purposes.

MSC:

14J28 \(K3\) surfaces and Enriques surfaces
14J10 Families, moduli, classification: algebraic theory
14Q10 Computational aspects of algebraic surfaces
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