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| Título : | Hilbert functions and Lefschetz properties for Artinian Gorenstein algebras |
| Autor : | BEZERRA, Lenin Alexandre de Almeida |
| Palabras clave : | Hilbert functions; Lefschetz properties; Artinian Gorenstein algebra |
| Fecha de publicación : | 13-dic-2024 |
| Editorial : | Universidade Federal de Pernambuco |
| Citación : | 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. |
| Resumen : | 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 |
| Aparece en las colecciones: | Teses de Doutorado - Matemática |
Ficheros en este ítem:
| Fichero | Descripción | Tamaño | Formato | |
|---|---|---|---|---|
| TESE Lenin Alexandre de Almeida Bezerra.pdf | 652.59 kB | Adobe PDF |  View/Open |
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