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Smooth models of singular K3-surfaces
release_6yjpbjxh2bc7livv5rkhxzahse
by
Alex Degtyarev
Released
as a article
.
2016
Abstract
We show that the classical Fermat quartic has exactly three smooth spatial
models. As a generalization, we give a classification of smooth spatial (as
well as some other) models of singular K3-surfaces of small discriminant. As
a by-product, we observe a correlation (up to a certain limit) between the
discriminant of a singular K3-surface and the number of lines in its models.
We also construct a K3-quartic surface with 52 lines and singular points,
as well as a few other examples with many lines or models.
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1608.06746v1
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