what the fuck is this? I understand the degree of a projective variety but apparently this isn't the same thing as the degree of the corrresponding scheme. I couldn't find it on google and am so pls help if you know wtf the degree of a scheme is

link to what I'm talking about(third line of "fixed notation" paragraph on first page):
https://www.ams.org/journals/proc/1985-093-04/S0002-9939-1985-0776185-6/S0002-9939-1985-0776185-6.pdf