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| dc.contributor | Miró-Roig, Rosa M. (Rosa Maria) | |
| dc.creator | Colarte Gómez, Liena | |
| dc.date | 2019-02-27T10:38:08Z | |
| dc.date | 2019-02-27T10:38:08Z | |
| dc.date | 2018-06-28 | |
| dc.date.accessioned | 2024-12-16T10:27:19Z | |
| dc.date.available | 2024-12-16T10:27:19Z | |
| dc.identifier | http://hdl.handle.net/2445/128969 | |
| dc.identifier.uri | http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/22258 | |
| dc.description | Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelona, Any: 2018, Director: Rosa Maria Miró-Roig | |
| dc.description | [en] Fixed $4 \leq d$ and a primitive $d$th root of unity $e$ we consider the ideal $I_{d}$ generated by all the $\mu$ monomials of degree $d$ invariant under the action of the diagonal matrix $M= Diag(1,e, e^{2},e^{3})$. We prove that $I_{d}$ is a monomial Galois Togliatti system ($GT$-system). We study the variety $F_{d}$ image of the Galois covering $\varphi_{Id}$ : $\mathbb{P}^{3}\rightarrow mathbb{P}^{\mu-1}$ with cyclic Galois group $\mathbb{Z}/d$ associated to $I_{d}$. We call this 3-dimensional variety $GT$-threefold. Finally, we demonstrate that the homogeneous ideal of $GT$-threefolds is a lattice ideal associated to a saturated partial character from $\mathbb{Z^\mu}$. | |
| dc.format | 40 p. | |
| dc.format | application/pdf | |
| dc.language | eng | |
| dc.rights | cc-by-sa (c) Liena Colarte Gómez, 2018 | |
| dc.rights | http://creativecommons.org/licenses/by-sa/3.0/es/ | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.source | Màster Oficial - Matemàtica Avançada | |
| dc.subject | Varietats tòriques | |
| dc.subject | Varietats algebraiques | |
| dc.subject | Treballs de fi de màster | |
| dc.subject | Geometria diferencial | |
| dc.subject | Geometria projectiva | |
| dc.subject | Anells artinians | |
| dc.subject | Mòduls (Àlgebra) | |
| dc.subject | Toric varieties | |
| dc.subject | Algebraic varieties | |
| dc.subject | Master's theses | |
| dc.subject | Differential geometry | |
| dc.subject | Projective geometry | |
| dc.subject | Artin rings | |
| dc.subject | Modules (Algebra) | |
| dc.title | GT-Varieties | |
| dc.type | info:eu-repo/semantics/masterThesis |
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