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most citedElliptic K3 surfaces with geometric Mordell-Weil rank 15

7 citations · 12 across the 6 of their papers we have counts for

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math.AG2005★ 7 cited

Elliptic K3 surfaces with geometric Mordell-Weil rank 15

Remke Kloosterman

We prove that the elliptic surface y^2=x^3+2(t^8+14t^4+1)x+4t^2(t^8+6t^4+1) has geometric Mordell-Weil rank 15. This completes a list of Kuwata, who gave explicit examples of ellip…

math.AG2005★ 3 cited

Explicit sections on Kuwata's elliptic surfaces

Remke Kloosterman

We give explicit generators for subgroups of finite index of the Mordell-Weil groups of several families of elliptic surfaces introduced by Masato Kuwata.

math.AG2005

Higher Noether-Lefschetz loci of elliptic surfaces

Remke Kloosterman

We calculate the dimension of the locus of elliptic surfaces over P^1 with a section and a given Picard number, in the corresponding moduli space.