Suppose $X$ smooth projective variety of dimension $n$ such that $-K_X$ is ample. If $h^0(-K_X) >0$, then the first Chern class of $X$ can be seen as a cycle of co-dimension $1$ associated to a section of $-K_X$. The second Chern class can be represented by a cycle of co-dimension $2$.

Qestion: Is there any way to identify a cycle associated to the second Chern class of $X$ ?

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