Gorai, Sushil
(2011)
*Local polynomial convexity of the union of two totally-real surfaces at their intersection.*
In: Manuscripta Mathematica, 135
(1-2).
pp. 43-62.

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## Abstract

We consider the following question: Let S (1) and S (2) be two smooth, totally-real surfaces in C-2 that contain the origin. If the union of their tangent planes is locally polynomially convex at the origin, then is S-1 boolean OR S-2 locally polynomially convex at the origin? If T (0) S (1) a (c) T (0) S (2) = {0}, then it is a folk result that the answer is yes. We discuss an obstruction to the presumed proof, and provide a different approach. When dim(R)(T0S1 boolean AND T0S2) = 1, we present a geometric condition under which no consistent answer to the above question exists. We then discuss conditions under which we can expect local polynomial convexity.

Item Type: | Journal Article |
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Publication: | Manuscripta Mathematica |

Publisher: | Springer |

Additional Information: | Copyright of this article belongs to Springer. |

Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |

Date Deposited: | 26 Apr 2011 08:16 |

Last Modified: | 26 Apr 2011 08:16 |

URI: | http://eprints.iisc.ac.in/id/eprint/37149 |

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