2 citations · 3 across the 4 of their papers we have counts for
5 papers
On rational points of orthogonal group
Masanori Kobayashi, Chikara Nakayama
Let be a positive integer. We show that a unit rational space vector whose multiple by is an integer vector can be extended to a rational orthonormal basis whose all member…
Tropical geometry of PERT
Masanori Kobayashi, Shinsuke Odagiri
Based on a description of project networks by max-plus algebra and poset, the adjacency of critical paths is presented using tropical geometry.
A note on exceptional unimodal singularities and K3 surfaces
Masanori Kobayashi, Makiko Mase, Kazushi Ueda
This is a short note on the relation between the graded stable derived categories of 14 exceptional unimodal singularities and the derived category of K3 surfaces obtained as compa…
Isomorphism among families of weighted K3 hypersurfaces
Masanori Kobayashi, Makiko Mase
Some of the 95 families of weighted K3 hypersurfaces have been known to have the isometric lattice polarizations. It is shown that weighted K3 hypersurfaces in such families are to…
Duality of Weights, Mirror Symmetry and Arnold's Strange Duality
Masanori Kobayashi
A notion of duality of weight systems which corresponds to Batyrev's toric mirror symmetry is given. Explicit duality on the (1,1)-cohomology of K3 surfaces which are minimal model…