RT Journal Article
T1 Sums of squares of linear forms: the quaternions approach
A1 Fernando Galván, José Francisco
A1 Ruiz Sancho, Jesús María
A1 Scheiderer, Claus
AB Let A = k[y] be the polynomial ring in one single variable y over a field k. We discuss the number of squares needed to represent sums of squares of linear forms with coefficients in the ring A. We use quaternions to obtain bounds when the Pythagoras number of A is ≤ 4. This provides bounds for the Pythagoras number of algebraic curves and algebroid surfaces over k.
YR 2006
FD 2006
LK https://hdl.handle.net/20.500.14352/50666
UL https://hdl.handle.net/20.500.14352/50666
LA eng
DS Docta Complutense
RD 18 abr 2025