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On the Hasse principle for a block-diagonal form and a form of lower degree

Anna Theorin Johansson

Source record

Source: arXiv

Published: Oct 26, 2026

arXiv: 2610.35639

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Source abstract

We investigate the Hasse principle for systems consisting of one form of degree kk which decomposes as a sum of nn-ary forms, and one general form of degree d516d 516 is relaxed to s>96s > 96, which also improves on the bound s>100s > 100 available for general forms.

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On the Hasse principle for a block-diagonal form and a form of lower degree — Mathematical Frontier Network