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Applications to Classical Topics

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Abstract

This chapter forms a unit with the previous one in the sense that it continues to discuss more recent developments arising from Mordell–Weil lattices from the point of view of Galois representations and algebraic equations. We discuss excellent families in the multiplicative setting and various applications of Mordell–Weil lattices, for instance to the classical problem of the 27 lines on a cubic surface.

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Correspondence to Matthias Schütt .

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© 2019 Springer Nature Singapore Pte Ltd.

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Schütt, M., Shioda, T. (2019). Applications to Classical Topics. In: Mordell–Weil Lattices. Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics, vol 70. Springer, Singapore. https://doi.org/10.1007/978-981-32-9301-4_10

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