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- W2692852617 abstract "Abstract Let ℙ denote the weighted projective space with weights (1, 1, 1, 3) over the rationals, with coordinates x , y , z and w ; let $mathcal{X}$ be the generic element of the family of surfaces in ℙ given by begin{equation*} Xcolon w^2=x^6+y^6+z^6+tx^2y^2z^2. end{equation*} The surface $mathcal{X}$ is a K3 surface over the function field ℚ( t ). In this paper, we explicitly compute the geometric Picard lattice of $mathcal{X}$ , together with its Galois module structure, as well as derive more results on the arithmetic of $mathcal{X}$ and other elements of the family X ." @default.
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- W2692852617 date "2018-03-27" @default.
- W2692852617 modified "2023-09-24" @default.
- W2692852617 title "On the arithmetic of a family of degree - two K3 surfaces" @default.
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- W2692852617 doi "https://doi.org/10.1017/s0305004118000087" @default.
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