On regular Stein neighborhoods of a union of two totally real planes in ℂ²

• Autorzy: Tadej Starčič
• Języki publikacji: EN

Abstrakty

EN

We find regular Stein neighborhoods of a union of totally real planes M = (A+iI)ℝ² and N = ℝ² in ℂ², provided that the entries of a real 2 × 2 matrix A are sufficiently small. A key step in our proof is a local construction of a suitable function ρ near the origin. The sublevel sets of ρ are strongly Levi pseudoconvex and admit strong deformation retraction to M ∪ N.

Kategorie tematyczne

• 32Q28: Stein manifolds
• 54C15: Retraction
• 32T15: Strongly pseudoconvex domains

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2016
• Tom: 117
• Numer: 1
• Strony: 1-15

Daty

wydano

2016

Twórcy

autor

Tadej Starčič

• Faculty of Education, University of Ljubljana, Kardeljeva Ploščad 16, 1000 Ljubljana, Slovenia
• Institute of Mathematics, Physics and Mechanics, Jadranska 19, 1000 Ljubljana, Slovenia

Identyfikatory

DOI

10.4064/ap3754-4-2016