Introduction To Algebraic Function Fields

In this video we give consider a rational

In this video we give information on the structure of the course and recall certain notions from

In this first video we motivate the adele space by recalling certain statements and their proofs about the Riemann-Roch spaces, ...

In this lecture our aim is to complete the proof of Riemann-Roch Theorem. For this purpose, we want to understand the second ...

In this first video, we

In this lecture, we

Here, we define Goppa's

In this lecture we begin focusing on the Riemann-Roch Theorem and give a partial proof of its statement.

Here, we

In this lecture we survey certain fundamental notions from elliptic, hyperelliptic, and the Hermitian

Here we

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Here we review the previous lectures until proving that the total degrees of zeros of a

As another application of the Riemann-Roch Theorem we give the proof the Strong Approximation Theorem in three steps.

Here we go over again the rational

We begin this lecture by showing that every Riemann-Roch space is a finite dimensional vector space over K. Please don't ...

By motivated by the coding theory we give the survey on the number of rational places of hyperelliptic

In this video we consider BCH codes as a subfield subcode of some rational

Now we focus on the special case when AG code is derived from the rational