Cerminara, Armando (2019) Lefschetz Properties in Algebra, Geometry and Combinatorics. [Tesi di dottorato]
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| Item Type: | Tesi di dottorato |
|---|---|
| Resource language: | English |
| Title: | Lefschetz Properties in Algebra, Geometry and Combinatorics. |
| Creators: | Creators Email Cerminara, Armando armando.cerminara@unina.it |
| Date: | 7 December 2019 |
| Number of Pages: | 57 |
| Institution: | Università degli Studi di Napoli Federico II |
| Department: | Matematica e Applicazioni "Renato Caccioppoli" |
| Dottorato: | Scienze matematiche e informatiche |
| Ciclo di dottorato: | 32 |
| Coordinatore del Corso di dottorato: | nome email De Giovanni, Francesco degiovan@unina.it |
| Tutor: | nome email Durante, Nicola UNSPECIFIED Ilardi, Giovanna UNSPECIFIED |
| Date: | 7 December 2019 |
| Number of Pages: | 57 |
| Keywords: | Lefschetz Properties, m-sygygy curves, Artinian Gorenstein Algebras, Hilbert function. |
| Settori scientifico-disciplinari del MIUR: | Area 01 - Scienze matematiche e informatiche > MAT/03 - Geometria |
| Date Deposited: | 13 Jan 2020 13:05 |
| Last Modified: | 17 Nov 2021 12:23 |
| URI: | http://www.fedoa.unina.it/id/eprint/12953 |
Collection description
We study the Lefschetz properties for higher order Nagata idealizations and we describe the associated algebras in the monomial square free. Moreover we study the asymptotic behaviour of the Hilbert function. Finally we give a description of the Jacobian module of the 3-syzygy curves, the maximal Tjurina curves and the nodal curves, having only rational irreducible components.
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