Counterexamples to the local-global principle associated with swinnerton-dyer's cubic form

研究成果: Article査読

1 被引用数 (Scopus)

抄録

We imitate a classical construction of a counterexample to the local-global principle of cubic forms of 4 variables which was discovered first by Swinnerton-Dyer (Mathematika (1962)). Our construction gives new explicit families of counterexamples in homogeneous forms of 4; 5; 6; : : : ; 2n C2 variables of degree 2n C1 for infinitely many integers n. It is contrastive to Swinnerton-Dyer's original construction that we do not need any concrete calculation in the proof of local solubility.

本文言語English
ページ(範囲)2097-2102
ページ数6
ジャーナルRocky Mountain Journal of Mathematics
50
6
DOI
出版ステータスPublished - 12月 2020

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