Relating Catlin and D'Angelo q-types

被引:0
|
作者
Brinzanescu, Vasile [1 ]
Nicoara, Andreea C. [2 ]
机构
[1] Romanian Acad, Simion Stoilow Inst Math, Res Unit 3,21 Calea Grivitei St, Bucharest 010702, Romania
[2] Trinity Coll Dublin, Sch Math, Dublin, Ireland
关键词
D'Angelo finite q-type; Catlin finite q-type; Finite type domains inCn; Orders of contact; Pseudoconvexity; REAL HYPERSURFACES; NEUMANN PROBLEM; ALGORITHM; ORDERS;
D O I
10.1016/j.jmaa.2023.127349
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We clarify the relationship between the two most standard ways to measure 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.& COPY; 2023 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
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页数:13
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