Naranjo del Val, Juan CarlosJordi, Garriga Puig2022-10-102022-10-102022-06-13https://hdl.handle.net/2445/189761Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2022, Director: Juan Carlos Naranjo del Val[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.65 p.application/pdfcatcc-by-nc-nd (c) Jordi Garriga Puig, 2022http://creativecommons.org/licenses/by-nc-nd/3.0/es/Geometria algebraicaTreballs de fi de grauCorbes algebraiquesSuperfícies algebraiquesSuperfícies cúbiquesCorbes planesAlgebraic geometryBachelor's thesesAlgebraic curvesAlgebraic surfacesCubic surfacesPlane curvesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess