Rank 2 arithmetically Cohen–Macaulay bundles on a nonsingular cubic surface

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• 作者：Daniele Faenzi
• 关键词：Arithmetically Cohen– ; Macaulay bundles ; Intermediate cohomology ; Cubic surfaces ; Moduli spaces of bundles ; Matrix factorization ; Maximal Cohen– ; Macaulay modules ; Determinantal ; or Pfaffian hypersurfaces
• 刊名：Journal of Algebra
• 出版年：2008
• 出版时间：1 January 2008
• 年：2008
• 卷：319
• 期：1
• 页码：143-186
• 全文大小：382 K

文摘

Rank 2 indecomposable arithmetically Cohen–Macaulay bundles on a nonsingular cubic surface X in are classified, by means of the possible forms taken by the minimal graded free resolution of over . The admissible values of the Chern classes of are listed and the vanishing locus of a general section of is studied.

Properties of such as slope (semi)stability and simplicity are investigated; the number of relevant families is computed together with their dimension.