Rank 2 arithmetically Cohen–Macaulay bundles on a nonsingular cubic surface
By Daniele Faenzi. 2005
72 citations recorded by the source corpus.
Abstract Rank 2 indecomposable arithmetically Cohen–Macaulay bundles E on a nonsingular cubic surface X in P 3 are classified, by means of the possible forms taken by the minimal graded free resolution of E over P 3 . The admissible values of the Chern classes of E are listed and the vanishing locus of a general section of E is studied. Properties of E such as slope (semi)stability and simplicity are investigated; the number of relevant families is computed together with their dimension.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4e365ce3a9b5d577ecaecbedbd1dba6423ee6ec2
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In Geometry and Topology
- Marta Casanellas
- J. Pons-Llopis
- Robin Hartshorne
- F. Tonini
- Rosa M. Mir'o-Roig Joan Pons-Llopis
- G. Casnati
- Emre Coskun
- Rajesh S. Kulkarni
In Mathematical Physics
- Marta Casanellas
- J. Pons-Llopis
- Robin Hartshorne
- F. Tonini
- Rosa M. Mir'o-Roig Joan Pons-Llopis
- Karl Schwede
Citations in the corpus
- ACM Bundles on Del Pezzo surfaces (2010, methodology): “ construct on a smooth cubic surface in P3 k for any n≥ 2 a n2 + 1-dimensional family of rank nindecomposable ACM vector bundles with Chern classes c 1 = nHand c 2 = 1 2(3n 2 −n). Moreover, Faenzi in [Fae08] was able to give a precise classification of rank 2 ACM bundles on cubic surfaces. He proved ”
- ACM bundles on cubic surfaces (2008, background): “Faenzi [12], and in his classification there are stable Ulrich bundles with c1 = 2H , c2 = 5 that form a family of dimension 5.”