Please use this identifier to cite or link to this item:
https://repositorio.ufpe.br/handle/123456789/64118
Share on
| Title: | Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras |
| Authors: | BEZERRA, Lenin Alexandre de Almeida |
| Keywords: | Hilbert functions; Lefschetz properties; Artinian Gorenstein algebra |
| Issue Date: | 13-Dec-2024 |
| Publisher: | Universidade Federal de Pernambuco |
| Citation: | BEZERRA, Lenin Alexandre de Almeida. Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras. 2024. Tese (Doutorado em Matemática) – Universidade Federal de Pernambuco, Recife, 2024. |
| Abstract: | This work is divided into two parts. In the first one, we studied minimal Hilbert functions for Artinian Gorenstein algebras, we conjecture that for certain algebras the Hilbert vector is always minimal, and prove this conjecture for a particular case. In the second part, we studied the Lefschetz locus for Artinian Gorenstein algebras with Hilbert vector (1, N + 1, N + 1, 1). |
| URI: | https://repositorio.ufpe.br/handle/123456789/64118 |
| Appears in Collections: | Teses de Doutorado - Matemática |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| TESE Lenin Alexandre de Almeida Bezerra.pdf | 652,59 kB | Adobe PDF |  View/Open |
This item is protected by original copyright |
This item is licensed under a Creative Commons License
