Maximal Cohen-Macaulay Modules over the Affine Cone of the Simple Node

2005/11/16 by Corina Baciu, Baciu, Corina
Mathematics · #13C14 #13H10 #14H45 #14H60 #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:13C14 #msc:13H10 #msc:14H45 #msc:14H60

paper · pdf · doi:10.48550/arxiv.math/0511405

39 pages

arxiv created 2005/11/16 · openalex publication_date 2005/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A concrete description of all graded maximal Cohen-Macaulay modules of rank one and two over the affine cone of the simple node (a non-isolated singularity) is given. For this purpose we construct an alghoritm that provides extensions of MCM modules over an arbitrary hypersurface.

Citations

• Vector Bundles Over an Elliptic Curve

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