18 citations · 20 across the 2 of their papers we have counts for
2 papers
math.NT2019★ 2 cited
Counterexamples to the local-global principle for non-singular plane curves and a cubic analogue of Ankeny-Artin-Chowla-Mordell conjecture
Yoshinosuke Hirakawa, Yosuke Shimizu
In this article, we introduce a systematic and uniform construction of non-singular plane curves of odd degrees which violate the local-global principle. Our constructio…
cond-mat.mes-hall2014★ 18 cited
Quantum thermal Hall effect of Majorana fermions on the surface of superconducting topoloigcal insulators
Yosuke Shimizu, Ai Yamakage, Kentaro Nomura
We study the quantum anomalous thermal Hall effect in a topological superconductor which possesses an integer bulk topological number, and supports Majorana excitations on the surf…