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http://hdl.handle.net/2445/113296
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DC Field | Value | Language |
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dc.contributor.advisor | Miró-Roig, Rosa M. (Rosa Maria) | - |
dc.contributor.author | Salat Moltó, Martí | - |
dc.date.accessioned | 2017-07-04T09:12:55Z | - |
dc.date.available | 2017-07-04T09:12:55Z | - |
dc.date.issued | 2017-01-16 | - |
dc.identifier.uri | http://hdl.handle.net/2445/113296 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2017, Director: Rosa Maria Miró-Roig | ca |
dc.description.abstract | 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. | ca |
dc.format.extent | 50 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | ca |
dc.rights | cc-by-nc-nd (c) Martí Salat Moltó, 2017 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es | - |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Àlgebra commutativa | - |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Geometria algebraica | ca |
dc.subject.classification | Singularitats (Matemàtica) | ca |
dc.subject.classification | Anells artinians | ca |
dc.subject.other | Commutative algebra | - |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Algebraic geometry | en |
dc.subject.other | Singularities (Mathematics) | en |
dc.subject.other | Artin rings | en |
dc.title | Lefschetz properties in algebra and geometry | ca |
dc.type | info:eu-repo/semantics/bachelorThesis | ca |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca |
Appears in Collections: | Treballs Finals de Grau (TFG) - Matemàtiques |
Files in This Item:
File | Description | Size | Format | |
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memoria.pdf | Memòria | 364.96 kB | Adobe PDF | View/Open |
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