Sökning: "cubic and quartic curves"

Hittade 1 avhandling innehållade orden cubic and quartic curves.

1. 1. Counting rational points on genus one curves

   Författare :Manh Hung Tran; Göteborgs universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Diophantine equations; rational points; Elliptic curves; genus; descent; determinant method; cubic and quartic curves; genus;

   Sammanfattning : This thesis contains two papers dealing with counting problems for curves of genus one. We obtain uniform upper bounds for the number of rational points of bounded height on such curves. The main tools to study these problems are descent and various refined versions of Heath-Brown’s p-adic determinant method. LÄS MER