Hermite Reciprocity and Schwarzenberger Bundles

@article{Raicu2021HermiteRA,
  title={Hermite Reciprocity and Schwarzenberger Bundles},
  author={Claudiu Raicu and Steven V. Sam},
  journal={Commutative Algebra},
  year={2021}
}
Hermite reciprocity refers to a series of natural isomorphisms involving compositions of symmetric, exterior, and divided powers of the standard SL2-representation. We survey several equivalent constructions of these isomorphisms, as well as their recent applications to Green’s Conjecture on syzygies of canonical curves. The most geometric approach to Hermite reciprocity is based on an idea of Voisin to realize certain multilinear constructions cohomologically by working on a Hilbert scheme of… 

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