RT Journal Article
T1 On pythagorean real irreducible algebroid curves
A1 Ruiz Sancho, Jesús María
AB In this note we deal with the pythagoras number p of certain 1-dimensional rings, i.e., real irreducible algebroid curves over a real closed ground field k. The problem we are concerned with is to characterize those real irreducible algebroid curves which are pythagorean (i.e., p = 1). We obtain two theorems involving the value-semigroup. Then we apply them to solve the cases of: (a) Gorenstein curves, (b) planar curves, (c) monomial curves, and (d) curves of multiplicity <= 5. Finally, two conjectures are stated.
PB Rocky Mountain Mathematics Consortium
SN 0035-7596
YR 1984
FD 1984
LK https://hdl.handle.net/20.500.14352/64761
UL https://hdl.handle.net/20.500.14352/64761
LA eng
DS Docta Complutense
RD 6 abr 2025