ON ARTIN'S CONJECTURE: LINEAR SLICES OF DIAGONAL HYPERSURFACES

Jörg ¨ Brüdern (1) , Olivier Robert (2, 3)

1 Georg-August-University = Georg-August-Universität Göttingen
2 CTN - Combinatoire, théorie des nombres
3 ICJ - Institut Camille Jordan

Artin's conjecture is established for all forms that can be realised as a diagonal form on an hyperplane.

Domains: Number Theory [math.NT]

Jörg ¨ Brüdern, Olivier Robert. ON ARTIN'S CONJECTURE: LINEAR SLICES OF DIAGONAL HYPERSURFACES. Transactions of the American Mathematical Society, 2019, 372 (3), pp.1867-1911. ⟨10.1090/tran/7635⟩. ⟨hal-01813099⟩