Parseval-Rayleigh identities for homogeneous complete intersections
Commutative Algebra
2025-11-10 v1
Abstract
We prove, in any positive characteristic, Parseval-Rayleigh identities for the residue map of a homogeneous complete intersection. As an application, we give a conceptual proof of the folklore fact that generic homogeneous complete intersections have the Strong Lefschetz Property over any field of characteristic 2.
Keywords
Cite
@article{arxiv.2511.05288,
title = {Parseval-Rayleigh identities for homogeneous complete intersections},
author = {Karim Alexander Adiprasito and Ryoshun Oba and Stavros Argyrios Papadakis and Vasiliki Petrotou},
journal= {arXiv preprint arXiv:2511.05288},
year = {2025}
}
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9 pages