Quantitative injectivity of the Fubini--Study map
Yoshinori Hashimoto
TL;DR
This paper provides a quantitative proof of the injectivity of the Fubini--Study map, with bounds polynomial in the line bundle's exponent, and corrects earlier arguments.
Contribution
It introduces a polynomially quantitative version of the Fubini--Study map's injectivity and rectifies previous proof errors.
Findings
Injectivity is polynomial in the line bundle's exponent.
Corrected previous proofs with rigorous arguments.
Provides a quantitative framework for the Fubini--Study map.
Abstract
We prove a quantitative version of the injectivity of the Fubini--Study map that is polynomial in the exponent of the ample line bundle, and correct the arguments in the author's previous papers.
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Taxonomy
TopicsSpatial Cognition and Navigation · Scoliosis diagnosis and treatment · Ophthalmology and Eye Disorders