Parseval-Rayleigh identities for homogeneous complete intersections

Published 7 Nov 2025 in math.AC | (2511.05288v1)

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.

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