de Nicola, StefanoStefanode NicolaMarconi, AlessandroAlessandroMarconiLongo, GiuseppeGiuseppeLongo2021-01-132021-01-1320190035-8711http://hdl.handle.net/20.500.12386/29739We study the correlations between supermassive black holes (BHs) and their host galaxies, using a sample of 83 BH masses collected from the most recent and reliable spatially resolved estimates available from the literature. We confirm the mono- and bivariate correlations between SMBHs and the bulges of their host galaxies, confirming that the correlation with the effective velocity dispersion is not significantly improved by higher dimensionality. Instead, pseudo-bulges do not seem to correlate with their SMBHs, probably because their secular evolution is often unable to trigger accretion onto the central BH. We then present a novel approach aimed at finding the fundamental relation between SMBHs and their host galaxies. For the first time, we analytically combine BH masses with the Fundamental Plane (FP), showing that M<SUB>BH</SUB>-σ<SUB>e</SUB> appears to be the fundamental relation rather than a putative `BH Fundamental Plane' of the kind M<SUB>BH</SUB>-σ<SUB>e</SUB>-R<SUB>e</SUB>. These results can be explained by a picture which sees the M<SUB>BH</SUB>-σ<SUB>e</SUB> relation as a natural outcome of the change in AGN feedback from momentum-driven to energy-driven. The other scaling relations are then established through the FP.STAMPAenThe fundamental relation between supermassive black holes and their host galaxiesArticle10.1093/mnras/stz24722-s2.0-85075255962000496922300045https://academic.oup.com/mnras/article/490/1/600/55615152019MNRAS.490..600DFIS/05 - ASTRONOMIA E ASTROFISICAERC sectors::Physical Sciences and Engineering::PE9 Universe sciences: astro-physics/chemistry/biology; solar systems; stellar, galactic and extragalactic astronomy, planetary systems, cosmology, space science, instrumentation