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Showing 1 to 6 of 6 for “"Mordell-Weil group"”.
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The Classification of Automorphism Groups of Rational Elliptic Surfaces With Section
… give a classification of (regular) automorphism groups of relatively minimal rational elliptic surfaces with section over the field ℂ which have non-constant J-maps. The automorphism group Aut(B) of such a surface B is the semi-direct product of its Mordell-Weil group MW(B) and the subgroup …
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Lattices and Their Applications to Rational Elliptic Surfaces
… of rational elliptic surfaces, namely the Mordell-Weil Group, Mordell-Weil Lattice, and another lattice which will be called the Shioda Lattice. It will begin with a brief overview of rational elliptic surfaces, followed by a discussion of lattices, root systems and Dynkin diagrams. Known …
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Computing canonical heights on Jacobians
… are the determination of generators for the Mordell-Weil group of the Jacobian and the computation of its regulator, appearing for instance in the famous Birch and Swinnerton-Dyer conjecture. We illustrate our algorithm with two examples: The regulator of a finite index subgroup of the …
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Extending the Geometric Tools of Heterotic String Compactification and Dualities
… or multiple sections (i.e., a higher rank Mordell-Weil group). In these cases, general vector bundles defined over such Calabi-Yau manifolds cannot be described by ordinary spectral data. To accomplish this, we employ well-established tools from the mathematics literature of Fourier-Mukai …