Kurrent is an old form of German language handwriting based on late medieval cursive writing, also known as Kurrentschrift or Alte Deutsche Schrift ("old German script").'

Kurrent is an old form of German language handwriting based on late medieval cursive writing, also known as Kurrentschrift or Alte Deutsche Schrift ("old German script") and German cursive.

(Wikipedia: Kurrent)

Sütterlin is a modern script based on Kurrent.