Syzygies of Veronese embeddings

1998/11/23 by Giorgio Ottaviani, Raffaella Paoletti, Ottaviani, Giorgio +1 · 1 citation
Engineering · Mathematics · #14F17 #14M20 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #FOS: Mathematics #Finite Group Theory Research #graph theory and CDMA systems #math.AG #msc:14F17 #msc:14M20

paper · pdf · doi:10.48550/arxiv.math/9811131

Tex, 10 pages, revised version as accepted in Compositio Math

openalex publication_date 1998/11/23 · arxiv created 2000/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the Veronese embedding of Pⁿ of degree d with n≥ 2, d≥ 3 does not satisfy property N_p (according to Green and Lazarsfeld) if p≥ 3d-2. We conjecture that the converse holds. This is true for n=2 and for n=d=3.

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• Multigraded Betti numbers of Veronese embeddings

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