Universidad Complutense de Madrid
E-Prints Complutense

On the pythagoras numbers of real analytic surfaces

Impacto

Downloads

Downloads per month over past year

Acquistapace, Francesca and Broglia, Fabrizio and Fernando Galván, José Francisco and Ruiz Sancho, Jesús María (2005) On the pythagoras numbers of real analytic surfaces. Annales Scientifiques de l'École Normale Supérieure. Quatrième Série, 38 (5). pp. 751-772. ISSN 0012-9593

[img] PDF
Restringido a Repository staff only

238kB

Official URL: http://www.sciencedirect.com/science/article/pii/S0012959305000443


URLURL Type
http://www.sciencedirect.com/Publisher


Abstract

We show that (i) every positive semidefinite meromorphic function germ on a surface is a sum of 4 squares of meromorphic function germs, and that (ii) every positive semidefinite global meromorphic function on a normal surface is a sum of 5 squares of global meromorphic functions.


Item Type:Article
Uncontrolled Keywords:Pythagoras number; Analytic function; Analytic function germ; Meromorphic function; Meromorphic function germ
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:15149
Deposited On:09 May 2012 09:52
Last Modified:02 Aug 2018 08:16

Origin of downloads

Repository Staff Only: item control page