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5 papers · 1 filter
N-systems, class polynomials for double eta-quotients and singular values of J-invariant function
Shunsuke Yoshimura, Aya Comuta, Noburo Ishii
Enge and Schertz gave the method of using the double eta-quotient for the construction of elliptic curves over finite fields. In their method, it is necessary to count the number o…
A remark on Fano 4-folds having (3,1)-type extremal contractions
Toru Tsukioka
Let X be the blow-up of a smooth projective 4-fold Y along a smooth curve C and let E be the exceptional divisor. Assume that X is a Fano manifold and has an elementary extremal co…
QED of excitons with nonlocal susceptibility in arbitrary-structured dielectrics
Motoaki Bamba, Hajime Ishihara
We have constructed a complete quantum theory for an optical process of excitons with nonlocal susceptibility originating from their center-of-mass motion. This theory provides a p…
Unbounded-error One-way Classical and Quantum Communication Complexity
Kazuo Iwama, Harumichi Nishimura, Rudy Raymond +1
This paper studies the gap between quantum one-way communication complexity and its classical counterpart , under the {\em unbounded-error} setting, i.e., it is enough…
Fuzzy Torus via q-Parafermion
N. Aizawa, R. Chakrabarti
We note that the recently introduced fuzzy torus can be regarded as a q-deformed parafermion. Based on this picture, classification of the Hermitian representations of the fuzzy to…