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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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.
| 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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| Deposited On: | 17 May 2012 11:46 |
| Last Modified: | 15 Apr 2013 09:38 |
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