A result on resolutions of Veronese embeddings
نویسنده
چکیده
This paper deals with syzygies of the ideals of the Veronese embeddings. By Green’s Theorem we know that OPn(d) satisfies Green-Lazarsfeld’s Property Np ∀d ≥ p, ∀n. By Ottaviani-Paoletti’s theorem if n ≥ 2, d ≥ 3 and 3d − 2 ≤ p then OPn(d) does not satisfy Property Np. The cases n ≥ 3, d ≥ 3, d < p < 3d− 2 are still open (except n = d = 3). Here we deal with one of these cases, namely we prove that OPn(3) satisfies Property N4 ∀n. Besides we prove that OPn(d) satisfies Np ∀n ≥ p iff OPp(d) satisfies Np.
منابع مشابه
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