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arXiv · 1707.08294

Relating Catlin and D'Angelo $q$-types

Vasile Brinzanescu·Andreea C. Nicoara
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Abstract

We clarify the relationship between the two most standard measurements of the order of contact of q-dimensional complex varieties with a real hypersurface, the Catlin and D'Angelo $q$-types, by showing that the former equals the generic value of the normalized order of contact measured along curves whose infimum is by definition the D'Angelo $q$-type.

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Vasile Brinzanescu, Andreea C. Nicoara. 2017-07-26. Relating Catlin and D'Angelo $q$-types. https://doi.org/10.1016/j.jmaa.2023.127349

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