We study the Lelong classes L(V),L+(V) of psh functions on an affine variety V. We compute the Monge-Amp{\`e}re mass of these functions, which we use to define the degree of a polynomial on V in terms of pluripotential theory (the Lelong degree). We compute the Lelong degree explicitly in a specific example. Finally, we derive an affine version of B{\'e}zout{\textquoteright}s theorem.

}, issn = {2035-6803}, doi = {10.14658/pupj-drna-2018-4-9}, url = {https://drna.padovauniversitypress.it/2018/4/9}, author = {Jesse Hart and Sione Ma{\textquoteleft}u} }