Segre Embedding And Heights

We give a quick look at the Segre embedding and try to use that in a fundamental tool of Diophantine Geometry - heights.

Number Theory

The ring of trigonometric polynomials with complex scalars

This post is a continuation of a previous post about the ring of trigonometric polynomials over the real field. Now we have jumped into the complex field, and the extension is not a trivial matter.

Algebra

Study Vector Bundle in a Relatively Harder Way - Tangent Bundle

Tangent line and tangent surface as vector spacesWe begin our study by some elementary Calculus. Now we have the function $f(...

Geometry

Study Vector Bundle in a Relatively Harder Way - Definition

MotivationDirection is a considerable thing. For example take a look at this picture (by David Gunderman): The position of t...

Geometry