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

Tadej Starčič. "On regular Stein neighborhoods of a union of two totally real planes in ℂ²." Annales Polonici Mathematici 117.1 (2016): 1-15. <http://eudml.org/doc/286243>.

@article{TadejStarčič2016,
abstract = {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.},
author = {Tadej Starčič},
journal = {Annales Polonici Mathematici},
keywords = {Stein neighborhoods; totally real planes; strongly pseudoconvex domains; strong deformation retraction},
language = {eng},
number = {1},
pages = {1-15},
title = {On regular Stein neighborhoods of a union of two totally real planes in ℂ²},
url = {http://eudml.org/doc/286243},
volume = {117},
year = {2016},
}

TY - JOUR
AU - Tadej Starčič
TI - On regular Stein neighborhoods of a union of two totally real planes in ℂ²
JO - Annales Polonici Mathematici
PY - 2016
VL - 117
IS - 1
SP - 1
EP - 15
AB - 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.
LA - eng
KW - Stein neighborhoods; totally real planes; strongly pseudoconvex domains; strong deformation retraction
UR - http://eudml.org/doc/286243
ER -