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10 papers · 1 filter
Points on Shimura curves rational over imaginary quadratic fields in the non-split case
Keisuke Arai
For an imaginary quadratic field of class number , we prove that there are only finitely many isomorphism classes of rational indefinite quaternion division algebras su…
Non-existence of points rational over number fields on Shimura curves
Keisuke Arai
Jordan, Rotger and de Vera-Piquero proved that Shimura curves have no points rational over imaginary quadratic fields under a certain assumption. In this article, we expand their r…
Seifert fibered surgeries on strongly invertible knots without primitive/Seifert positions
Mario Eudave-Munoz, Edgar Jasso, Katura Miyazaki +1
We find an infinite family of Seifert fibered surgeries on strongly invertible knots which do not have primitive/Seifert positions. Each member of the family is obtained from a tre…
Neighbors of Seifert surgeries on a trefoil knot in the Seifert Surgery Network
Arnaud Deruelle, Katura Miyazaki, Kimihiko Motegi
A Seifert surgery is a pair (K, m) of a knot K in the 3-sphere and an integer m such that m-Dehn surgery on K results in a Seifert fiber space allowed to contain fibers of index ze…
Mathematical Analysis of Melodies: Slope and Discrete Frechet Distance
Fumio Hazama
A directed graph, called an M-graph, is attached to every melody. Our chief concern in this paper is to investigate (1) how the positivity of the slope of the M-graph is related to…
Computer Simulations on Barkhausen effects and Magnetizations in Fe Nano-Structure Systems
Shuji Obata
The magnetization processes in Fe nano-systems are investigated using the numerical simulations based on classical magnetic dipole moment interactions. The domain energies are calc…