Sajad Salami, Institute of Mathematics and Statistics and State University of Rio de Janeiro, Rio de Janeiro, Brazil
Tony Shaska, Department of Mathematics and Statistics, Oakland University, Rochester Hills, MI
We investigate local and global weighted heights a-la Weil for weighted projective spaces  via Cartier and Weil divisors and   extend the definition of weighted heights on weighted projective spaces from Beshaj, Gutierrez, Shaska (2020)  to  weighted varieties and closed subvarieties. We prove that any line bundle  on a weighted variety  admits a locally bounded weighted M-metric. Using this fact, we define local and global weighted heights for weighted varieties in weighted projective spaces and their closed subschemes, and show their  fundamental properties. Â
