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Quadratic sheaves and self-linkage

2001/06/13 by Gianfranco Casnati, Fabrizio Catanese, Casnati, Gianfranco +1 · 1 citation
Mathematics · #13C40 #14M06 #14M07 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #math.AG #msc:13C40 #msc:14M06 #msc:14M07

paper · pdf · doi:10.48550/arxiv.math/0106104

AmS-ppt, 12 pages, no figures

arxiv created 2001/06/13 · openalex publication_date 2001/06/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generalizing an old result proved by P. Rao [see MR 83i:14025] for arithmetically Cohen-Macaulay, self-linked subschemes of codimension 2 in the projective n-space P, we give a characterization of self-linked pure subschemes of codimension 2 in P satisfying a necessary parity condition, in characteristic different from 2. We make use of the theory of quadratic sheaves described in a previous paper of the authors [see MR 99h:14044].

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