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http://hdl.handle.net/2445/189761
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DC Field | Value | Language |
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dc.contributor.advisor | Naranjo del Val, Juan Carlos | - |
dc.contributor.author | Jordi, Garriga Puig | - |
dc.date.accessioned | 2022-10-10T08:13:44Z | - |
dc.date.available | 2022-10-10T08:13:44Z | - |
dc.date.issued | 2022-06-13 | - |
dc.identifier.uri | http://hdl.handle.net/2445/189761 | - |
dc.description | Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Juan Carlos Naranjo del Val | ca |
dc.description.abstract | [en] In Algebraic Geometry numbers 27 and 28 are usually associated with two well-known classical results. All smooth cubic surfaces contain 27 distinct lines. And all smooth plane quartics have 28 bitangents. The aim of this work is to stablish a relation between these two statements. First, we have introduced the theoretical basis needed to demonstrate the two classical results. In the final part, we have suggested a method with which the 27 lines contained in a cubic surface can be transformed into bitangents of a plane quartic and, also from the surface, an additional bitangent can be formed, so that we ultimately obtain the 28 bitangents. | ca |
dc.format.extent | 65 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | cat | ca |
dc.rights | cc-by-nc-nd (c) Jordi Garriga Puig, 2022 | - |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ | * |
dc.source | Treballs Finals de Grau (TFG) - Matemàtiques | - |
dc.subject.classification | Geometria algebraica | ca |
dc.subject.classification | Treballs de fi de grau | - |
dc.subject.classification | Corbes algebraiques | ca |
dc.subject.classification | Superfícies algebraiques | ca |
dc.subject.classification | Superfícies cúbiques | ca |
dc.subject.classification | Corbes planes | ca |
dc.subject.other | Algebraic geometry | en |
dc.subject.other | Bachelor's theses | - |
dc.subject.other | Algebraic curves | en |
dc.subject.other | Algebraic surfaces | en |
dc.subject.other | Cubic surfaces | en |
dc.subject.other | Plane curves | en |
dc.title | Superfı́cies cúbiques i corbes quàrtiques | 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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tfg_garriga_puig_jordi.pdf | Memòria | 1.35 MB | Adobe PDF | View/Open |
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