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Analytic surface germs with minimal Pythagoras number

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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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Official URL: http://www.springerlink.com/content/krjuhbn3kjn9thnl/fulltext.pdf


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Abstract

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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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
Deposited On:17 May 2012 09:46
Last Modified:06 Sep 2018 14:55

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