%0 Journal Article
%A Fernando Galván, José Francisco
%T Analytic surface germs with minimal Pythagoras number
%D 2003
%@ 0025-5874
%U https://hdl.handle.net/20.500.14352/57236
%X We determine all complete intersection surface germs whose Pythagoras number is 2, and find that they are all embedded in R-3 and have the property that every positive semidefinite analytic function germ is a sum of squares of analytic function germs. In addition, we discuss completely these properties for mixed surface germs in R-3. Finally, we find in higher embedding dimension three different families with these same properties.
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