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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 527卷 / 01期

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/).

引用

页数：13

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