Transcendental Lattices of Certain Singular K3 Surfaces
نویسنده
چکیده
We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type A10 + A9 that are defined over Q( √ 5) and are conjugate to each other by the action of Gal(Q( √ 5)/Q).
منابع مشابه
ar X iv : 0 80 6 . 33 11 v 2 [ m at h . A G ] 5 J un 2 00 9 ZARISKI - VAN KAMPEN METHOD AND TRANSCENDENTAL LATTICES OF CERTAIN SINGULAR K 3 SURFACES
We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type A10 + A9 that are defined over Q( √ 5) and are conjugate to each other by the action of Gal(Q( √
متن کامل. A G ] 2 0 Ju n 20 08 ZARISKI - VAN KAMPEN METHOD AND TRANSCENDENTAL LATTICES OF CERTAIN SINGULAR K 3 SURFACES
We present a method of Zariski-van Kampen type for the calculation of the transcendental lattice of a complex projective surface. As an application, we calculate the transcendental lattices of complex singular K3 surfaces associated with an arithmetic Zariski pair of maximizing sextics of type A10 + A9 that are defined over Q( √ 5) and are conjugate to each other by the action of Gal(Q( √
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