ACM bundles, quintic threefolds and counting problems

ACM bundles, quintic threefolds and counting problems

We review some facts about rank two arithmetically Cohen-Macaulay bundles on quintic threefolds. In particular, we separate them into seventeen natural classes, only fourteen of which can appear on a general quintic. We discuss some enumerative problems arising from these.

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Veröffentlicht in:Central European journal of mathematics 2012-08, Vol.10 (4), p.1380-1392
Hauptverfasser: Mohan Kumar, N., Rao, Aroor P.
Format: Artikel
Sprache:eng
Schlagworte:
14F05
Algebra
Arithmetically Cohen-Macaulay
Geometry
Lie Groups
Mathematics
Mathematics and Statistics
Number Theory
Probability Theory and Stochastic Processes
Quintic threefolds
Research Article
Topological Groups
Vector bundles
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Zusammenfassung:We review some facts about rank two arithmetically Cohen-Macaulay bundles on quintic threefolds. In particular, we separate them into seventeen natural classes, only fourteen of which can appear on a general quintic. We discuss some enumerative problems arising from these.
ISSN:1895-1074
1644-3616
2391-5455
DOI:10.2478/s11533-012-0017-7