31 citations · 63 across the 13 of their papers we have counts for
15 papers
Deformation of singular curves on surfaces
Takeo Nishinou
In this paper, we consider deformations of singular complex curves on complex surfaces. Despite the fundamental nature of the problem, little seems to be known for curves on genera…
Integration of vector fields on cell complexes and Morse theory
Takeo Nishinou
In this paper, we investigate vector fields on polyhedral complexes and their associated trajectories. We study vector fields which are analogue of the gradient vector field of a f…
Deformation of pairs and semiregularity
Takeo Nishinou
In this paper, we study relative deformations of maps into a family of Kähler manifolds whose images are divisors. We show that if the map satisfies a condition called semiregulari…
Realization of tropical curves in abelian surfaces
Takeo Nishinou
We construct algebraic curves in abelian surfaces by utilizing tropical curves in real tori. We give a necessary and sufficient condition for a tropical curve in a real torus to be…
Obstructions to deforming maps from curves to surfaces
Takeo Nishinou
This paper studies the obstructions to deforming a map from a complex variety to another variety which is an immersion of codimension one. We extend the classical notion of semireg…
Degeneration and curves on K3 surfac
Takeo Nishinou
This paper studies curves on quartic K3 surfaces, or more generally K3 surfaces which are complete intersection in weighted projective spaces. A folklore conjecture concerning rati…