1074-13-84
Enrico Carlini* ([email protected]), Corso Duca degli Abruzzi 24, 10129 Turin, Italy,
and Maria Virginia Catalisano and Anthony V. Geramita. Monomials as sums of powers Part I.
In the polynomial ring T = k[y1 , . . . , yn ], with n > 1 we study the ideals I ⊂ (y1a1 , . . . , ynan ) such that T /I has dimension
one. In particular, we produce a bound on their multiplicity. As a corollary, we show that the monomial xb11 · . . . · xbnn ,
Q
with 1 ≤ b1 ≤ . . . ≤ bn is the sum of n2 (bi + 1) powers of linear forms and no fewer. (Received August 14, 2011)
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