On Genera of Sextic Space Curves
University essay from KTH/Skolan för teknikvetenskap (SCI)
Abstract: Curves of degree 6 in the complex projective space can be interpreted as surfaces. These sur-faces can have holes, how many holes a surface has is called its genus. This thesis will investigate exactly what genera these surfaces can have. First, an upper bound for the genus is found, which turns out to be 4. Then, examples of curves of each genera are found and we conclude that it is possible to construct sextic space curves of all genera up to 4.
AT THIS PAGE YOU CAN DOWNLOAD THE WHOLE ESSAY. (follow the link to the next page)