Topology and its Applications 234 457-473 2018 [Refereed]
Thom polynomials in A-classification I: counting singular projections of a surface
T. Sasajima and T. Ohmoto
Eroupean Math. Soc. Series of Congress Reports, IMPANGA Lecture Notes `Vector bundles, Schubert varieties, and equivariant cohomology', 203-226 2018 [Refereed]
C^1-triangulation of semialgebraic sets
T. Ohmoto and M. Shiota
J. Topology 10 765-775 2017 [Refereed]
Classical formulae on projective characters of surfaces and 3-folds, revisited
T. Sasajima and T. Ohmoto
Saitama J. Math. Proceedings of JARCS6 (Kagoshima, 2015) 31 141-160 2017 [Refereed]
Classification of jets of surfaces in projective 3-space via central projection
H. Sano, Y. Kabata, J. L. Deolindo Silva and T. Ohmoto
Bull. Brazilian Math. Soc. 48(4) 623-639 Dec 2017 [Refereed]
We show that any semialgebraic set admits a semialgebraic triangulation such
that each closed simplex is differentiable. As an application, we give a
straightforward definition of the integration over a compact
semialgebraic ...
We present a local classification of smooth projective surfaces in 3-space
via projective transformations in accordance with singularity types of central
projections up to codimension 4. We also discuss a relation between our
classification of Mon...
We obtain a formula for the generating series of (the push-forward under the
Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the
Hilbert schemes of points for a smooth quasi-projective variety of arbitrary
pure dimensio...
This is a note on my mini-course in the International Workshop on Real and
Complex Singularities held at ICMC-USP (Sao Carlos, Brazil) in July 2012. Here
we introduce a new branch of the Thom polynomial theory for singularities of
holomorphic maps...
This is a note on MacPherson's Chern class for algebraic stacks, based on a
previous paper of the author [arXiv:math/0407348]. We also discuss other
additive characteristic classes in the same manner.
Math. Proc. Cambridge Phil. Soc. 144, (2008), 423--438 (a revised version) Apr 2006
For a possibly singular complex variety , generating functions of total
"orbifold Chern homology classes" of symmetric products are given. Those
are very natural "Chern class versions" (in the sense of Schwartz-MacPherson)
of known gener...
Math. Proc. Cambridge Phil. Soc. 140, (2006), 115--134 (a revised version) Jul 2004
We define the equivariant Chern-Schwartz-MacPherson class of a possibly
singular algebraic variety with a group action over the complex number field
(or a field of characteristic 0). In fact, we construct a natural
transformation from the equivari...
