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math.DG2026
The Zariski Cotangent Space at the Origin of the Pencil Diffeological Space
Masaki Taho
The pencil diffeological space is a plane whose smooth structure at the origin is detected only along lines through it. We show that the Zariski cotangent space at the origin is en…
math.DG2026
Diffeological Spaces with a Non-Smooth Derivation
Masaki Taho
We show that on certain diffeological spaces there exist linear derivations that satisfy the Leibniz rule but are not smooth with respect to the given diffeology. This reveals that…