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.Comment: 11 pages. arXiv admin note: text overlap with arXiv:1302.229

Brinzanescu, Vasile

Nicoara, Andreea C.

English

arXiv

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.Comment: 15 pages; new results added and more details in the proof of the Main
  Theorem. arXiv admin note: text overlap with arXiv:1302.229

Relating Catlin and D'Angelo $q$ -types

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