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extend Galois Theory notes: add various 'tools'(useful theorems that don't appear in the book), add t^6-7\in Q example

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arnaucube
2025-09-21 17:45:55 +02:00
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weil-pairing.tex
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@@ -37,9 +37,18 @@
\maketitle
\begin{abstract}
Notes taken from \href{https://sites.google.com/view/matanprasmashomepage/publications}{Matan Prasma} math seminars and also while reading about Bilinear Pairings. Usually while reading papers and books I take handwritten notes, this document contains some of them re-written to $LaTeX$.
Notes taken from
\href{https://sites.google.com/view/matanprasmashomepage/publications}{Matan
Prasma} math seminars and while reading about Bilinear Pairings, Matan's
course seminars are available at the following youtube playlist:\\
\href{https://www.youtube.com/watch?v=JYSQYaAhJYc&list=PLV91V4b0yVqQ_inAjuIB5SwBNyYmA9S6M}{https://www.youtube.com/watch?v=JYSQYaAhJYc&list=PLV91V4b0yVqQ_inAjuIB5SwBNyYmA9S6M}
and in his website there are the full notes on that course, named
\emph{Elliptic curves over finite fields and their pairings, an elementary and rigorous account}\\
\href{https://sites.google.com/view/matanprasmashomepage/publications}{https://sites.google.com/view/matanprasmashomepage/publications};
highly recommended!
The notes are not complete, don't include all the steps neither all the proofs. I use these notes to revisit the concepts after some time of reading the topic.
Usually while learning I take handwritten notes, this document contains some of them re-written to $LaTeX$.
The notes are not complete, don't include all the steps neither all the proofs. I use these notes to revisit the concepts after some time of reading the topic.
\end{abstract}
\tableofcontents