Let $\hspace{0.2cm}f:$ $X\longrightarrow Y \hspace{0.2cm}$ be a finite morphism of curves over $K$.
Consider $\hspace{0.2cm}\Omega_{X/K}\hspace{0.2cm}$ and $\hspace{0.2cm}\Omega_{Y/K}\hspace{0.2cm}$ the sheaves of relative differentials:
why and in what sense do they represent the canonical divisors of $X$ and $Y$?
2026-03-26 06:07:03.1774505223
Relation between the sheaf of relative differentials and the canonical divisor
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