Lelong classes of plurisubharmonic functions on an affine variety
Title | Lelong classes of plurisubharmonic functions on an affine variety |
Publication Type | Journal Article |
Year of Publication | 2018 |
Authors | Hart, J, Ma‘u, S |
Journal | Dolomites Research Notes on Approximation |
Volume | 11 |
Issue | 4 |
Pagination | 84-102 |
Date Published | 11/2018 |
Publisher | Padova University Press |
Place Published | Padova, IT |
ISSN Number | 2035-6803 |
Abstract | We study the Lelong classes L(V),L+(V) of psh functions on an affine variety V. We compute the Monge-Ampère 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 Bézout’s theorem. |
URL | https://drna.padovauniversitypress.it/2018/4/9 |
DOI | 10.14658/pupj-drna-2018-4-9 |
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