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The Artin-Lang property for normal real analytic surfaces

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Andradas Heranz, Carlos and Díaz-Cano Ocaña, Antonio and Ruiz Sancho, Jesús María (2003) The Artin-Lang property for normal real analytic surfaces. Journal für die reine und angewandte Mathematik, 556 . pp. 99-111. ISSN 0075-4102

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Official URL: http://www.degruyter.com/view/j/crll



Abstract

We solve the 17th Hilbert Problem and prove the Artin-Lang property for normal real analytic surfaces. Then we deduce that the absolute (resp. relative) holomorphy ring of such a surface consists of all bounded (resp. locally bounded) meromorphic functions.


Item Type:Article
Uncontrolled Keywords:Real analytic surfaces; Meromorphic functions.
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:14763
Deposited On:17 Apr 2012 11:47
Last Modified:12 Dec 2018 15:13

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