Syzygies of some rational homogeneous varieties
Zhi Jiang

TL;DR
This paper investigates the syzygies of rational homogeneous varieties, extending known results about line bundle properties to a broader class of these varieties across different types.
Contribution
It generalizes Manivel's result on Property (N_p) for line bundles on flag varieties to many rational homogeneous varieties of types B, C, D, and G2.
Findings
Extended Property (N_p) results to new classes of rational homogeneous varieties.
Confirmed that p-th powers of ample line bundles satisfy Property (N_p) in these cases.
Broadened understanding of syzygies in the context of algebraic geometry.
Abstract
In this paper, we study syzygies of rational homogeneous varieties. We extend Manivel's result that a -th power of an ample line bundle on a flag variety satisfies Propery to many rational homogeneous varieties of type , , , and .
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Tensor decomposition and applications · Commutative Algebra and Its Applications
