check display manager
$ cat /etc/x11/default-display-manager
this should be gdm3 or lightdm
change cursor theme for gdm
$ sudo mkdir -p /usr/share/icons/default # if not exist the directory
$ sudo vi /usr/share/icons/default/index.theme
edit
[Icon Theme]
Inherits=Adwaita
update the alternative system
$ sudo update-alternatives --install /usr/share/icons/default/index.theme x-cursor-theme /usr/share/icons/Adwaita/index.theme 100
$ sudo update-alternatives --set x-cursor-theme /usr/share/icons/Adawait/index.theme
change Adawaita to whatever cursor you want (at step2)
restart GDM
$ sudo systemctl restart gdm3
For LightDM (at step1 above)
1. edit LightDM config
$ sudo vi /etc/lightdm/lightdm-gtk-greeter.conf
edit
[greeter]
cursor-theme-name=
2. restart LightDM
$ sudo systemctl restart lightdm
Of course, you can install your cursor whatever before doing this.