TY  - JOUR
TI  - m-Pluripotential theory on Riemannian spaces and tropical geometry
AB  - In this study we extend the concepts of $m$-pluripotential theory to the Riemannian superspace formalism. Since in this setting positive supercurrents and tropical varieties are closely related, we try to understand the relative capacity notion with respect to the intersection of tropical hypersurfaces. Moreover, we generalize the classical quasicontinuity result of Cartan to $m$-subharmonic functions of Riemannian spaces and lastly we introduce the indicators of $m$-subharmonic functions and give a geometric characterization of their Newton numbers.
AU  - ŞAHİN, Sibel
DO  - 10.15672/hujms.717867
PY  - 2021
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 50
IS  - 5
SN  - 1303-5010
SP  - 1347
EP  - 1357
DB  - TRDizin
UR  - http://search/yayin/detay/495063
ER  -