Computing Tate–Shafarevich Groups of Multinorm One Tori of Kummer Type-Reference-Cited by-同舟云学术

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Computing Tate–Shafarevich Groups of Multinorm One Tori of Kummer Type

Published:2024-07-17 Issue:4 Volume:28 Page:
ISSN:1027-5487
Container-title:Taiwanese Journal of Mathematics
language:
Short-container-title:Taiwanese J. Math.

Author:

Huang Jun-Hao¹,Hung Fan-Yun²,Liang Pei-Xin³,Yu Chia-Fu⁴

Affiliation:

1. Department of Mathematics, National Taiwan Normal University, Taiwan

2. Department of Mathematics, UCLA, USA

3. Institute of Mathematics, Academia Sinica, Taiwan

4. Institute of Mathematics, Academia Sinica and the National Center for Theoretical Sciences, Taiwan

Publisher

The Mathematical Society of the Republic of China

Reference11 articles.

1. E. Bayer-Fluckiger, T.-Y. Lee and R. Parimala, Hasse principles for multinorm equations, Adv. Math. 356 (2019), 106818, 35 pp.

2. C. Demarche and D. Wei, Hasse principle and weak approximation for multinorm equations, Israel J. Math. 202 (2014), no. 1, 275–293.

3. W. Hürlimann, On algebraic tori of norm type, Comment. Math. Helv. 59 (1984), no. 4, 539–549.

4. T.-Y. Lee, The Tate–Shafarevich groups of multinorm-one tori, J. Pure Appl. Algebra 226 (2022), no. 7, Paper No. 106906, 25 pp.

5. J. Neukirch, A. Schmidt and K. Wingberg, Cohomology of Number Fields, Grundlehren Math. Wiss. 323, [Fundamental Principles of Mathematical Sciences], Springer-Verlag, Berlin, 2000.

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