Y. Kurokawa

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math.DG2026

Schwarzian Residue of the Samuelson Obstruction in Tangent Lagrangian 2-Webs

Yasuhiro Kurokawa

The Samuelson condition, a classical area-ratio condition for planar Lagrangian $2$ -webs, is equivalent in local web coordinates $(u, v)$ to $\partial_{u} \partial_{v} lo g ∣ J_{F} (u, v) ∣ = 0$ ,…

math.DG2026

A Universal Obstruction to the Samuelson Condition for Tangent Lagrangian 2-Webs

Yasuhiro Kurokawa

We study the Samuelson area condition for Lagrangian $2$-webs in the symplectic plane generated by tangent lines to plane curves. We prove that, near every point of nonzero curva…

math.DG2026

The Samuelson Condition and Tangent Lines of Quadratic Curves

Yasuhiro Kurokawa

We show that the Samuelson condition, an area condition, is not satisfied by the Lagrangian 2-web formed by the tangent lines to a non-degenerate real quadratic curve.