Colliot-Th\'el\`ene's conjecture and finiteness of u-invariants
classification
🧮 math.AG
math.NTmath.RA
keywords
colliot-thconjecturedegreefieldfinitenessarbitraryboundsbrauer
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We show that Colliot-Th\'el\`ene's conjecture on 0-cycles of degree 1 implies finiteness for the u-invariant of the function field of a curve over a totally imaginary number field and period-index bounds for the Brauer groups of arbitrary fields of transcendence degree 1 over the rational numbers.
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