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Curves of tangencies of foliation pairs and normalizing transformations

math.DS · 2026-04-08 · unverdicted · novelty 6.0

Germs of non-dicritical and dicritical foliation pairs with degenerate singularities have their tangency curves fully described via k-normal forms of normalizing transformations, with a realization theorem showing generic transversal analytic curves arise this way.

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  • Curves of tangencies of foliation pairs and normalizing transformations math.DS · 2026-04-08 · unverdicted · none · ref 1

    Germs of non-dicritical and dicritical foliation pairs with degenerate singularities have their tangency curves fully described via k-normal forms of normalizing transformations, with a realization theorem showing generic transversal analytic curves arise this way.