Analytic surface germs with minimal Pythagoras number

DOI10.1007/s00209-003-0519-xzbMath1052.14069OpenAlexW1976436556MaRDI QIDQ1407797

José F. Fernando

Publication date: 21 September 2003

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-003-0519-x

zbMATH Keywords

sums of squarescomplete intersectionmixed surface germspositive semi-definite function germunmixed surface germs

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Real-analytic and semi-analytic sets (14P15) Germs of analytic sets, local parametrization (32B10)

Related Items (6)

On the Pythagoras numbers of real analytic set germs ⋮ Sums of squares in real rings ⋮ Positive semidefinite analytic functions on real analytic surfaces ⋮ On the positive extension property and Hilbert's 17th problem for real analytic sets ⋮ Sums of squares in real analytic rings ⋮ Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings

Cites Work

• Positive semidefinite germs on the cone.
• Hilbert functions of graded algebras
• Sums of two squares in analytic rings
• On the solutions of analytic equations
• On sums of squares in local rings
• Sums of squares in real analytic rings
• Le théorème des zéros pour les variétés analytiques réelles de dimension $2$
• On the Pythagoras numbers of real analytic rings
• Positive semidefinite germs in real analytic surfaces
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