papers
Publications (18)
math.AC2006
Behavior of local cohomology modules under polarization
Mitsuhiro Miyazaki
math.AC2005
On the analytic spread and the reduction number of the ideal of maximal minors
Mitsuhiro Miyazaki
math.AC2013
Action of special linear groups to the tensor of indeterminates, classical invariants of binary forms and hyperdeterminant
Mitsuhiro Miyazaki
quant-ph2009
Tensor rank problem in statistical high-dimensional data and quantum information theory:their comparisons on the methods and the results
Toshio Sakata, Lin Chen, Toshio Sumi +1
math.AC2004
On the discrete counterparts of Cohen-Macaulay algebras with straightening laws
Mitsuhiro Miyazaki
math.RA2012
Typical rank of $m\times n\times (m-1)n$ tensors with $3\leq m\leq n$ over the real number field
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
math.RA2008
About the maximal rank of 3-tensors over the real and the complex number field
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
math.RA2013
Upper bound of typical ranks of m x n x ((m-1)n-1) tensors over the real number field
Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki
math.RA2008
A simple estimation of the maximal rank of tensors with two slices by row and column operations, symmetrization and induction
Toshio Sakata, Toshio Sumi, Mitsuhiro Miyazaki
math.RA2010
Perfect type of n-tensors
Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki
math.AC2014
$G$-prime and $G$-primary $G$-ideals on $G$-schemes
Mitsuyasu Hashimoto, Mitsuhiro Miyazaki
stat.OT2010
Tests of Non-Equivalence among Absolutely Nonsingular Tensors through Geometric Invariants
Toshio Sakata, Kazumitsu Maehra, Takeshi Sasaki +3
math.RA2013
Rank of tensors with size 2 x ... x 2
Toshio Sumi, Toshio Sakata, Mitsuhiro Miyazaki
math.RA2008
Rank of 3-tensors with 2 slices and Kronecker canonical forms
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
math.AC2005
A sufficient condition for a Hibi ring to be level and levelness of Schubert cycles
Mitsuhiro Miyazaki
math.RA2015
Typical ranks for 3-tensors, nonsingular bilinear maps and determinantal ideals
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
math.RA2012
Typical ranks of certain 3-tensors and absolutely full column rank tensors
Mitsuhiro Miyazaki, Toshio Sumi, Toshio Sakata
math.AC2005
On the generating poset of Schubert cycles and the characterization of Gorenstein property
Mitsuhiro Miyazaki