Let f be a newform of weight 2k−2 and level M with M an odd square-free integer. Via the Saito-Kurokawa correspondence there is associated to f a Siegel newform Ff of weight k and level M . In this paper we provide a formula relating the Petersson products 〈Ff , Ff 〉 and 〈f, f〉. We use this result to give a new proof of a special case of a well-known result of Shimura on the algebraicity of a s...

We give examples of reducible characteristic cycles for irreducible HarishChandra modules for U(p, q) by analyzing a four-dimensional singular subvariety of C. We relate this singularity to the Kashiwara-Saito singularity arising for Schubert varieties for GL(8,C) with reducible characteristic cycles, as well as recent related examples of Williamson. In particular, this gives another explanatio...

We consider surface singularities in C3 arising as the total space of an equisingular deformation of an isolated curve singularity of the form f(x, y)+zg(x, y) with f and g weighted homogeneous. We give a criterion that such a surface is a free divisor in the sense of Saito. We deduce that the Hessian deformation defines a free divisor for nonsimple weighted homogeneous singularities, and that ...

Akira Suzuki ([email protected]) Socorro Lupisan ([email protected]) Yuki Furuse ([email protected]) Naoko Fuji ([email protected]) Mariko Saito ([email protected]) Raita Tamaki ([email protected]) Hazel Galang ([email protected]) Lydia Sombrero ([email protected]) Melisa Mondoy ([email protected]) Rapunzel Aniceto ([email protected]) Remigio Ol...

Let A be an integer d × n matrix, and assume that the convex hull conv(A) of its columns is a simplex of dimension d− 1 not containing the origin. It is known that the semigroup ring C[NA] is Cohen–Macaulay if and only if the rank of the GKZ hypergeometric system HA(β) equals the normalized volume of conv(A) for all complex parameters β ∈ Cd (Saito, 2002). Our refinement here shows that HA(β) h...

Let G be an edge-colored graph. A heterochromatic path of G is such a path in which no two edges have the same color. dc(v) denotes the color degree of a vertex v of G. In a previous paper, we showed that if dc(v) ≥ k for every vertex v of G, then G has a heterochromatic path of length at least dk+1 2 e. It is easy to see that if k = 1, 2, G has a heterochromatic path of length at least k. Sait...

Authors: Jogender Mehla, Jamshid Faraji, Takashi Saito, Takaomi C Saido, Majid H. Mohajerani and Robert J. McDonald Canadian Centre for Behavioural Neuroscience, University of Lethbridge, Lethbridge, Alberta, Canada. Golestan University of Medical Sciences, Faculty of Nursing & Midwifery, Gorgan, Islamic Republic of Iran. Laboratory for Proteolytic Neuroscience, RIKEN Brain Science Institute, W...

This paper models a negative impact on the environment as one of the attributes of transport mode. By this modeling, we are able to examine whether individual environmental consciousness of this impact has a significant effect on his/her choice of transport mode. A survey data from Saito and Onohara Area in Northern Osaka of Japan is used to estimate the model with the Heteroscedastic Extreme V...

SPACECRAFT: A COMPARISON OF THE OBSERVED NUMBER DENSITY WITH THE ESTIMATED. T. Michikami, A. M. Nakamura, C. Honda, J. Saito, K. Hiraoka, R. Nakamura, H. Demura, M. Ishiguro, N. Hirata,and H. Miyamoto. Fukushima National College of Technology, Iwaki, Fukushima 970-8034, Japan., ([email protected]), Graduate School of Science and Technology, Kobe University, Institute of Space and Ast...