60 citations · 111 across the 17 of their papers we have counts for
17 papers
Thom polynomials for singularities of maps
Toru Ohmoto
This is a gentle introduction to a general theory of universal polynomials associated to classification of map-germs, called Thom polynomials. The theory was originated by René Tho…
Universal polynomials for multi-singularity loci of maps
Toru Ohmoto
In the present paper, we prove the existence of universal polynomials which express multi-singularity loci classes of prescribed types for proper morphisms between smooth schemes o…
Unstability problem of real analytic maps
Karim Bekka, Satoshi Koike, Toru Ohmoto +2
As well-known, the stability of proper maps is characterized by the infinitesimal stability. In the present paper we study the counterpart in real…
An extended MMP algorithm: wavefront and cut-locus on a convex polyhedron
Kazuma Tateiri, Toru Ohmoto
In the present paper, we propose a novel generalization of the celebrated MMP algorithm in order to find the wavefront propagation and the cut-locus on a convex polyhedron with an…
The dually flat structure for singular models
Naomichi Nakajima, Toru Ohmoto
The dually flat structure introduced by Amari-Nagaoka is highlighted in information geometry and related fields. In practical applications, however, the underlying pseudo-Riemannia…
Geometric algebra and singularities of ruled and developable surfaces
Junki Tanaka, Toru Ohmoto
Any ruled surface in Euclidean 3-space is described as a curve of unit dual vectors in the algebra of dual quaternions (=the even Clifford algebra of type (0,3,1)). Combining this…