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STABLE DOUBLE POINT NUMBERS OF PAIRS OF SPHERICAL CURVES

Tsuyoshi Kobayashi, S.-P. Kobayashi

2019.5.30JP Journal of Geometry and Topology

DOI: 10.17654/gt022020129

tlooto Summary

The article introduces the concept of stable double point numbers for pairs of spherical curves and explores its relation to a specific inequality.

Abstract

For a pair of spherical curves P and P ′, we introduce the stable double point number of P and P ′, denoted sd(P, P ′). A trivial spherical curve is a spherical curve with no double point, denoted ⃝. In the talk, I presented two results relevant to the question whether sd(P,⃝) ≤ d([P ]) + 1 holds or not.

Citation format

KOBAYASHI, Tsuyoshi; KOBAYASHI, S.-P. STABLE DOUBLE POINT NUMBERS OF PAIRS OF SPHERICAL CURVES. JP Journal of Geometry and Topology, 2019.