Stable bundles on 3-fold hypersurfaces
Marcos Jardim
TL;DR
This paper constructs many stable rank 2 and 3 bundles on 3-fold hypersurfaces using monads and analyzes their Chern classes, advancing understanding of vector bundle moduli on complex threefolds.
Contribution
It introduces a monad-based method to explicitly construct stable bundles and explores the range of their Chern classes on 3-fold hypersurfaces.
Findings
Constructed a large class of stable bundles of ranks 2 and 3.
Analyzed the possible Chern classes of these bundles.
Provided new examples and classifications of stable bundles on 3-fold hypersurfaces.
Abstract
Using monads, we construct a large class of stable bundles of rank 2 and 3 on 3-fold hypersurfaces, and study the set of all possible Chern classes of stable vector bundles.
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Taxonomy
TopicsGeometry and complex manifolds · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology