RT Journal Article
T1 On the pythagoras numbers of real analytic set germs.
A1 Fernando Galván, José Francisco
A1 Ruiz Sancho, Jesús María
AB We Show that (i) the Pythagoras number of a real analytic set germ is the supremum of the Pythagoras numbers of the curve germs it contains, and (ii) every real analytic curve germ is contained in a real analytic surface germ with the same Pythagoras number (or Pythagoras number 2 if the curve is Pythagorean). This gives new examples and counterexamples concerning sums of squares and positive semidefinite analytic function germs.
PB Société Mathématique de France
SN 0037-9484
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/49907
UL https://hdl.handle.net/20.500.14352/49907
LA eng
NO GAAR
NO RAAG
DS Docta Complutense
RD 7 abr 2025