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On the computation of the Picard group for certain singular quartic surfaces

In: Mathematica Slovaca, vol. 63, no. 2
Andreas-Stephan Elsenhans - Jörg Jahnel
Detaily:
Rok, strany: 2013, 215 - 228
Kľúčové slová:
$K3$~surface, singular quartic surface, Cayley-Rohn quartic, $A_1$~singularity, Picard rank, van Luijk's method
O článku:
We test the methods for computing the Picard group of a $K3$ surface in a situation of high rank. The examples chosen are resolutions of quartics in $\bP3$ having $14$ singularities of type $A1$. Our computations show that the method of R. van Luijk works well when sufficiently large primes are used.
Ako citovať:
ISO 690:
Elsenhans, A., Jahnel, J. 2013. On the computation of the Picard group for certain singular quartic surfaces. In Mathematica Slovaca, vol. 63, no.2, pp. 215-228. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0094-x

APA:
Elsenhans, A., Jahnel, J. (2013). On the computation of the Picard group for certain singular quartic surfaces. Mathematica Slovaca, 63(2), 215-228. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0094-x
O vydaní: