  Simulations for the thermodynamics of the 2+1 flavor QCD are performed
employing chiral fermions. The use of M\"obius domain-wall fermions with
stout-link smearing is more effective on the finer lattices where all the
relevant chiral symmetries are realized more accurately. We report on the
initial simulations near the (pseudo) critical point using the line of constant
physics with an average $ud$ quark mass slightly heavier than physical at
$a\lesssim 0.1$ fm.
