One or two transition temperatures in high-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>cuprates: Real or complex hybrid pairings at low temperature

We explore the number of superconducting temperatures which may be expected in high-${T}_{c}$ cuprates, depending on the possible attractive parts in the pairing interaction and the presence or absence of anisotropy. We also study the subsequent gap shape at 0 K. The possibility of a complex hybrid pairing $(d+is),$ at $T=0\mathrm{K},$ while a real one $(d+s)$ occurs near ${T}_{c},$ is examined for the bulk of the material and also in connection with recent experiments at the surface.

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