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Geometric fields, ranks, and generic derivations

math.LO · 2026-05-21 · unverdicted · novelty 5.0

Establishes minimality equivalences for geometric field theories and shows supersimplicity or superrosiness of generic derivation expansions holds precisely when the derivations commute, with rank bounds via Kolchin polynomial.

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  • Geometric fields, ranks, and generic derivations math.LO · 2026-05-21 · unverdicted · none · ref 17

    Establishes minimality equivalences for geometric field theories and shows supersimplicity or superrosiness of generic derivation expansions holds precisely when the derivations commute, with rank bounds via Kolchin polynomial.