Archive for the ‘Algebraic Geometry’ Category

A Strange Inequality.

thursday, december 9th, 2010

We show how to prove a number theoretic inequality, originating from geometry, using an elementary approach.

Diagonalizable Matrices.

friday, january 29th, 2010

We consider the property of an n times n matrix of being diagonalizable. Is this property open in the standard topology, or the Zariski topology? The emphasis lies on the real and complex numbers, as well as on arbitrary algebraically closed fields.