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- W3122689519 abstract "We prove the hard Lefschetz property for pseudomanifolds and cycles in any characteristic with respect to an appropriate Artinian reduction. The proof is a combination of Adiprasito's biased pairing theory and a generalization of a formula of Papadakis-Petrotou to arbitrary characteristic. In particular, we prove the Lefschetz theorem for doubly Cohen Macaulay complexes, solving a generalization of the g-conjecture due to Stanley. We also provide a simplified presentation of the characteristic 2 case, and generalize it to pseudomanifolds and cycles." @default.
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- W3122689519 date "2021-01-18" @default.
- W3122689519 modified "2023-09-27" @default.
- W3122689519 title "Anisotropy, biased pairings, and the Lefschetz property for pseudomanifolds and cycles" @default.
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