| 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 |
|