I am a graduate student. I want to learn about $p$-rank and $p$-torsion points on curves over finite fields. As the base, I have read Stictenoth's book ''Algebraic Function Fields and Codes'' but he did not discuss much about the $p$ rank of curves. Is there any book/notes that discuss the theory of $p$ ranks of curves (possibly over an algebraically closed field or over characteristic 0 fields but containing some chapters on what will happen in positive characteristic)?
2026-03-25 19:00:54.1774465254
Reference book/ Notes/ articles for p rank
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