Families of K-3 Surfaces
Keyword(s):
Let V be a 2-dimensional compact complex manifold. V is called a K-3 surface if : a) the irregularity q = dim H1(V, θ) of V vanishes and b) the first Chern class c1 of V vanishes. The canonical sheaf (of holo-morphic 2-forms) K of such a surface is trivial, since q = 0 implies that the Chern class map cx : Pic (V) → H2(V, Z) is injective : thus V has a nowhere zero holomorphic 2-form.
2018 ◽
Vol 12
(1-2)
◽
pp. 239-249
2015 ◽
pp. 87-111
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2004 ◽
Vol 188
(1)
◽
pp. 87-103
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1998 ◽
Vol 6
(3)
◽
pp. 485-510