@article {404, title = {Lelong classes of plurisubharmonic functions on an affine variety}, journal = {Dolomites Research Notes on Approximation}, volume = {11}, year = {2018}, month = {11/2018}, pages = {97-115}, publisher = {Padova University Press}, address = {Padova, IT}, abstract = {

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-2018-4-10}, url = {https://drna.padovauniversitypress.it/2018/4/10}, author = {Jesse Hart and Sione Ma{\textquoteleft}u} }