arXiv:1010.1923 Abstract | arXiv Analytics

arXiv:1010.1923 [math.AG]Abstract References Reviews Resources

Determinantal quartics and the computation of the Picard group

Published 2010-10-10Version 1

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 $\bP^3$ having 14 singularities of type $A_1$. Our computations show that the method of R. van Luijk works well when sufficiently large primes are used.

Categories: math.AG, math.NT

Subjects: 14J28, 14C22, 14J27

Keywords: picard group, determinantal quartics, computation, van luijk works, high rank

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