  We study the holographic dual to $c$-extremization for 2d $(0,2)$
superconformal field theories (SCFTs) that have an AdS$_3$ dual realized in
Type IIB with varying axio-dilaton, i.e. F-theory. M/F-duality implies that
such AdS$_3$ solutions can be mapped to AdS$_2$ solutions in M-theory, which
are holographically dual to superconformal quantum mechanics (SCQM), obtained
by dimensional reduction of the 2d SCFTs. We analyze the corresponding map
between holographic $c$-extremization in F-theory and
$\mathcal{I}$-extremization in M-theory, where in general the latter receives
corrections relative to the F-theory result.
