Multiplicative excellent families of elliptic surfaces of type \(E_7\) or \(E_8\)

DOI10.2140/ant.2013.7.1613zbMath1281.14030arXiv1204.1531OpenAlexW3099614381MaRDI QIDQ380379

Tetsuji Shioda, Abhinav Kumar

Publication date: 13 November 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1531

zbMATH Keywords

Weyl groupMordell-Weil groupinverse Galois problemmultiplicative invariantsrational elliptic surfaces

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Elliptic curves over global fields (11G05) Actions of groups on commutative rings; invariant theory (13A50) Elliptic surfaces, elliptic or Calabi-Yau fibrations (14J27)

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Torsion subgroups of elliptic curves over quintic and sextic number fields ⋮ Exterior powers of the adjoint representation and the Weyl ring of \(E_8\)

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