Scientists / Open questions
Kunihiko Kodaira
Complex geometry; algebraic geometry
1954 Fields Medal
6 questions
Kodaira's Assumptions I and II: characterizing the potentials for which the Jost function of a half-line Schrödinger operator with Coulomb-type tail continues into the unphysical k-plane
Completing Kodaira's generalized potential theory on open Riemannian manifolds: a Riemann-Roch dimension formula, vanishing third-kind fields of cycles, and essential singularities
Mechanistic basis of serine, cysteine, and tyrosine supplementation effects in CHO fed-batch monoclonal antibody production: the lactate-consumption switch, Cys-Tyr-Ser tripeptide utilization, osmolality confounding, ammonium tolerance, and dose response
The Global Spherical Shell conjecture: completing Kodaira's classification of minimal class VII surfaces
Kodaira-Abe (1940): is every character of the one-dimensional Betti group of a compactum induced by a continuous map into a connected compact separable abelian group?
Explicit spectral density matrices and spectral types for concrete singular even-order ordinary differential operators: completing the concrete side of Kodaira's 1950 eigenfunction-expansion theory