[pkscout]

I tried setting it up like this, but it's not the same. 
Now if the artist's fanart is missing, the genre fanart is displayed (for example, a song-the genre fanart rock, rock1, rock2.. rock10 is displayed). The next song is again displayed fanart rock, rock1, rock2.. rock10.How do I set up the rock11 fanart to be displayed on the next song?

You can't. Once a different artist is playing, AS resets the slideshow and randomizes the images.  There is no checking to see if the genre changed.  The addon is, after all, called Artist Slideshow, not Genre Slideshow.  '-)

Thanks for the answer.) I am very sorry that it is not possible to configure it this way. I'm new to Kodi, so I thought it could be configured the same way as in MediaPortal,
where it's implemented. Can we do this in the next releases?

I'll look at it, but probably not.  Tracking genre changes in addition to artist changes and then figuring out when to change the slides based on availability of images adds another layer of complexity onto an addon that is already more complex than I wish it was.