Resolutions of Segre embeddings of projective spaces of any dimension

2004/04/22 by Elena Rubei, Rubei, Elena · 1 citation
Mathematics · #13D02 #14M25 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Finite Group Theory Research #math.AG #msc:13D02 #msc:14M25

paper · pdf · doi:10.48550/arxiv.math/0404417

9 pages, textwidth 15cm textheight 22,3 cm, 1 figure

arxiv created 2004/04/22 · openalex publication_date 2004/04/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper deals with syzygies of Segre embeddings. Let d >=3 and n₁, ..., n_d nonzero natural numbers. We prove that O(1,...., 1) on the product of P^n₁, ...,P^n_d satisfies Property N_p if and only if p <= 3.

Citations

• On the projective normality of complete linear series on an algebraic curve

Cited by

• On the connectedness of some degeneracy loci and of Ulrich subvarieties

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