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Analytic surface germs with minimal Pythagoras number

Fernando Galván, José Francisco (2003) Analytic surface germs with minimal Pythagoras number. Mathematische Zeitschrift, 244 (4). pp. 725-752. ISSN 0025-5874

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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.

Item Type:Article
Additional Information:

Erratum: Analytic surface germs with minimal Pythagoras number.Mathematische Zeitschrift. 250(2005)no. 4, 967-969

Uncontrolled Keywords:Positive Semidefinite Germs; Squares; Rings; Sums
Subjects:Sciences > Mathematics > Number theory
Sciences > Mathematics > Algebraic geometry
ID Code:15229

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