Analytic surface germs with minimal Pythagoras number |
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Authors: | Email author" target="_blank">José F?FernandoEmail author |
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Institution: | (1) Depto. Algebra, F. Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain |
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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 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 3. Finally, we find in higher embedding dimension three different families with these same properties. Partially supported by DGICYT, BFM2002-04797 and HPRN-CT-2001-00271
Mathematical Subject Classification (2000): 11E25, 14P15.An erratum to this article can be found at |
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