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- W1625308507 abstract "A field k is called anti-Mordellic if every smooth curve over k with a k-point has infinitely many k-points. We prove that for a function field over an anti-Mordellic field, the subfield of constants is defined by a certain universal first order formula. Under additional hypotheses regarding 2-cohomological dimension we prove that algebraic dependence of an n-tuple of elements in such a function field can be described by a first order formula, for each n. We also give a result that lets one distinguish various classes of fields using first order sentences." @default.
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- W1625308507 date "2008-05-22" @default.
- W1625308507 modified "2023-09-25" @default.
- W1625308507 title "First-order characterization of function field invariants over large fields" @default.
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- W1625308507 doi "https://doi.org/10.1017/cbo9780511735219.009" @default.
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