| dc.contributor |
Miró-Roig, Rosa M. (Rosa Maria) |
|
| dc.creator |
Salat Moltó, Martí |
|
| dc.date |
2017-07-04T09:12:55Z |
|
| dc.date |
2017-07-04T09:12:55Z |
|
| dc.date |
2017-01-16 |
|
| dc.date.accessioned |
2024-12-16T10:24:35Z |
|
| dc.date.available |
2024-12-16T10:24:35Z |
|
| dc.identifier |
http://hdl.handle.net/2445/113296 |
|
| dc.identifier.uri |
http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/17966 |
|
| dc.description |
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Rosa Maria Miró-Roig |
|
| dc.description |
The weak and strong Lefschetz properties on graded artinian algebras have been an object of study along the last few decades. Precisely, let be $A$ a graded artinian algebra. We say that $A$ has the Strong Lefschetz property (SLP) if the multiplication by a $d$th power of a general linear form have maximal rank (i.e. $\times L^{d} : A_{i} \rightarrow A_{i+d}$ is injective or surjective for every $i$). We say that $A$ has the Weak Lefschetz property (WLP) if occurs the same with $d = 1$. These properties have connections among different areas such as algebraic geometry, commutative algebra and combinatorics. Sometimes quite surprising, these connections give new approaches and relate problems, a priori, very distant. |
|
| dc.format |
50 p. |
|
| dc.format |
application/pdf |
|
| dc.language |
eng |
|
| dc.rights |
cc-by-nc-nd (c) Martí Salat Moltó, 2017 |
|
| dc.rights |
http://creativecommons.org/licenses/by-nc-nd/3.0/es |
|
| dc.rights |
info:eu-repo/semantics/openAccess |
|
| dc.source |
Treballs Finals de Grau (TFG) - Matemàtiques |
|
| dc.subject |
Àlgebra commutativa |
|
| dc.subject |
Treballs de fi de grau |
|
| dc.subject |
Geometria algebraica |
|
| dc.subject |
Singularitats (Matemàtica) |
|
| dc.subject |
Anells artinians |
|
| dc.subject |
Commutative algebra |
|
| dc.subject |
Bachelor's theses |
|
| dc.subject |
Algebraic geometry |
|
| dc.subject |
Singularities (Mathematics) |
|
| dc.subject |
Artin rings |
|
| dc.title |
Lefschetz properties in algebra and geometry |
|
| dc.type |
info:eu-repo/semantics/bachelorThesis |
|