Analyzes coding of graphs into PAC fields to preserve model theory properties and proves the SOP_n hierarchy is strict in the class of fields.
Interpolative fusions ii: Preservation results.arXiv preprint arXiv:2201.03534,
2 Pith papers cite this work. Polarity classification is still indexing.
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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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Classification Theory and the Construction of PAC Fields
Analyzes coding of graphs into PAC fields to preserve model theory properties and proves the SOP_n hierarchy is strict in the class of fields.
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Geometric fields, ranks, and generic derivations
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.