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Mordell–Weil Lattices

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Mordell–Weil Lattices

Abstract

In this chapter, we give the definition of Mordell–Weil lattice (in Sect. 6.5). First, we bring together the concepts from Chaps. 4 and 5 in order to gain a better understanding of the Néron–Severi lattice of an elliptic surface. This will lead to the announced notion of Mordell–Weil lattice which will be studied in detail in this chapter, but also throughout the remainder of this book.

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Correspondence to Matthias Schütt .

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Schütt, M., Shioda, T. (2019). Mordell–Weil Lattices. 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_6

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